Question

Find the value of x. Then find the angle measures of the polygon.

Answer 1

x° = 125°

(x+10)° = 135°

Explanation:

Given:

Sum of measures of angle = 720°

Solution:

We know that:

Sum of measures of angle = 720°

120 + 100 + 120 + x + 10 + 120 + x = 720

x + x + 120 + 100 + 120 + 10 + 120 = 720

2x + 470 = 720

2x = 720 - 470

2x = 250

Divide both sides by 2

x = 250/2

x = 125

Now,

Angles measures

x° = 125°

(x+10)° = (125+10)° = 135°

`\rule[225]{225}{2}`

Hope this helped!

~AH1807

Peace!