Question

Find the value of x, then use that value to determine each angle measure of the triangles below.

Answer 1

x =8

The angles are

3x= 24

7x+4 = 60

13x-8 =96

Explanation:

The sum of the angles of the triangle is 180

3x+ 7x+4 + 13x-8 =180

Combine like terms

23x -4 = 180

Add 4 to each side

23x -4+4 =180+4

23x =184

Divide by 23

23x/23 = 184/23

x =8

The angles are

3x= 3*8 =24

7x+4 = 7*8+4 = 56+4 = 60

13x-8 = 13*8-8 =104-8=96