Mathematics, 08.11.2019 05:31, drewje12

Aregular polygon has a measure of (8x+6) and a measure of (4x+12) find the measure of each angle show work

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The correct answer was given: keke6361

The measure of each angle is 18°

Step-by-step explanation:

we know that

A regular polygon is a polygon whose all sides are equal and also all angles are equal.

In this problem

(8x+6)=(4x+12)

Solve for x

(8x-4x)=(12-6)

4x=6

x=1.5

Substitute the value of x

$(8x+6)=8(1.5)+6=18\°$

therefore

The measure of each angle is 18°

The correct answer was given: avaryan84

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Step-by-step explanation:

Let us learn the property of a triangle.

Let a triangle be $\triangle ABC$ .

Sum of all the three internal angles of a triangle is always equal to $180^\circ$ .

$\angle A+\angle B+\angle C=180^\circ$

Given that triangles have 2 angles. Let us suppose, the third angle be $x^\circ$

1. Triangle 1: two angles are $50^\circ, 75^\circ$

$\therefore 50^\circ+75^\circ+x=180^\circ\\\Rightarrow 125+x=180^\circ\\\Rightarrow x=55^\circ$

All the angles are less than 90 and no two angles are equal so, it is acute angle scalene triangle. (No sides equal)

2. Triangle 1: two angles are $60^\circ, 30^\circ$

$\therefore 60^\circ+30^\circ+x=180^\circ\\\Rightarrow 90+x=180^\circ\\\Rightarrow x=90^\circ$

One angle is 90 and not two angles are equal so, right angled scalene triangle.(No sides equal)

3. Triangle 1: two angles are $30^\circ, 45^\circ$

$\therefore 30^\circ+45^\circ+x=180^\circ\\\Rightarrow 75+x=180^\circ\\\Rightarrow x=105^\circ$

One angle is more than 90 and not two angles are equal so, obtuse angled scalene triangle.(No sides equal)

So, the answers are:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

The correct answer was given: jshehehdh

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for third angle

∠C = 180° - (50 + 75)° = 180° - 125° = 55°

∠B = 180° - (60 + 30)° = 180° - 90° = 90°

∠A = 180° - (45 + 30)° = 180° - 75° = 105°

The correct answer was given: dios01

A and B are complementary, so A+B. = 90, 3x-8+5x+10=90
8x=88, x= 11
A= 3*11-8=25
B=5x+10=65

The correct answer was given: llamatacocat

For every side you just add 90 to your equation. so #4 would be 360-125-125-55=(55)

The correct answer was given: kaylaunderwood470

Hi there!

7. We need to figure out the value of the missing angle and subtract that from 180 to find the exterior angle.

WORK:
180 - 28 - 58 = 94
180 - 94 = 86
? = 86 degrees.

8. First, we need to figure out the value of the missing angle and subtract the value of the missing angle from 180 to find the exterior angle.

WORK:
180 - 35 - 95 = 50
180 - 50 = 130
? = 130 degrees.

9. To solve for x, we need to set the exterior angle equal to its opposite interior angles and solve.

WORK:
8 + 6x = 30 + 4x + 2
2x + 8 = 32
2x = 24
x = 12 degrees

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

The correct answer was given: tanoah7623

This is a good one!

So we know that a triangle's angles must add up to 180 degrees. Therefore, we can say that:

(3x - 3) + (5x + 3) + (4x) = 180.

This can be rewritten as 12x = 180.

Divide each side by 12 to get x alone, you get:

x = 15

Time to plug n' chug.

4x = 60, 3x - 3 = 42, 5x + 3 = 78

Boom!

The correct answer was given: lolah5127

The measurements of the angles are: 110° ; 50° ; 20° .

Explanation:

Note: There are 3 (three) angles in any triangle (by definition).

By definition, all the angles in any triangle add up to 180° .

The problems asks us to find the measure of EACH angle of the triangle.

We can set up an equation; given the information in the problem; to solve for the measure of EACH of the 3 (THREE) angles in the triangle:

→ " x + (x + 90) + (x + 30) = 180 " ;

in which: "x" is the measure of one of the angles;
(specifically, the smallest angle) in the triangle;
"(x + 90)" is the measure of another one of the angles in the triangle;
  "(x + 30)" is the measure of another one of the angles in the triangle;

By solving for "x" in the equation; we can solve for the measures of all the angles in the triangle;

→ x + (x + 90) + (x + 30) = 180 ;

x + x + 90 + x + 30 = 180 ;

  → 3x + 120 = 180 ;

Subtract "120" from each side of the equation ;

3x + 120 − 120 = 180 − 120 ;

to get: 3x = 60 ;

Now, divide EACH SIDE of the equation by "3" ; to isolate "x" on one side of the equation ; and to solve for "x" ;

3x = 60 ;

3x / 3 = 60 / 3 ;

x = 20 ;

Now, we have the original equation:

x + (x + 90) + (x + 30) = 180 ;

in which: x = 20° {the smallest angle) ;
"(x + 90)" = "(20 + 90) = 110° ;
"(x + 30)" = "(20 + 30)" = 50° ;

The measurements of the angles are: 110° ; 50° ; 20° .

To check our work:

20 + 110 + 50 =? 180 ?? ;   → 130 + 50 =? 180 ?? ; → Yes!

The correct answer was given: Brain

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i hope this you! : d

stay brainly and stay proud! " - zalgo

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The correct answer was given: Brain

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