Question

LA and ZB are vertical angles. If m_A = (8x – 20) and m B = (3x – 5)º,

then find the value of x.

Answer 1

52

Explanation:

Angle A equals 4x+8

Angle B equals 5x-b

and they are vertical angles.

If so, vertical angels are equal. You can set the expressions equal to each other, solve for x, and plug that value back in to solve for A.

4x+8=5x-b

add 3 to both sides

4x+11=5x

subtract 4x from both sides

11=x

Then plug x=11 into 4x+8.

4(11)+8

44+8

52