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

Answer:

Angle A measures 80º.

Step-by-step 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:

$A + B = 180$

$7x + 3 + 7x + 23 = 180$

$14x + 26 = 180$

$14x = 154$

$x = \frac{154}{14}$

$x = 11$

Measure of Angle A:

Since x = 11

7*11 + 3 = 77 + 3 = 80º

Angle A measures 80º.