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:
[tex]A + B = 180[/tex]
[tex]7x + 3 + 7x + 23 = 180[/tex]
[tex]14x + 26 = 180[/tex]
[tex]14x = 154[/tex]
[tex]x = \frac{154}{14}[/tex]
[tex]x = 11[/tex]
Measure of Angle A:
Since x = 11
7*11 + 3 = 77 + 3 = 80º
Angle A measures 80º.
