Question

Find the value of x. Then find the measure of each labeled angle.

x = 110; the labeled angles are 110º and 70º.


x = 70; the labeled angles are 110º and 70º.


x = 20; the labeled angles are 160º and 20º.


x = 20; the labeled angles are 60º and 20º.

Answer 1

I believe x equals 70 degrees

Answer 2

x = 70; the labeled angles are 110º and 70º.

Explanation:

The full degrees will add up to 180º. There are 2x and +40.

Equation:
`2x+40=180`

Solve:
`2x+40=180\\\\180-40=140\\\\2x=140\\\\x=70`

Since x=70, 70+40 will equal to 110.

Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.