Question

ZA and B are supplementary angles. If m A = (7x +3) and m ZB = (7x +23)", then find the measure of ZA.​

Answer 1

Angle A measures 80º.

Explanation:

Supplementary angles:

Two angles are called supplementary when their measures add to 180º.

In this question:

Angle A measures 7x + 3

Angle B measures 7x + 23

Since they are supplementary:

`A + B = 180`

`7x + 3 + 7x + 23 = 180`

`14x + 26 = 180`

`14x = 154`

`x = (154)/(14)`

`x = 11`

Measure of Angle A:

Since x = 11

7*11 + 3 = 77 + 3 = 80º

Angle A measures 80º.