Question

Angle RST and Angle GSH are vertical angles. Angle RST = 5b + 20 and

Angle GSH = 7b - 4. What is the measure of Angle RST?
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Answer 1

The measure of angle RST is 80

Explanation:

Since they are vertical angles, then they must be equal as vertically opposite angles are equal

Thus;

5b + 20 = 7b - 4

7b - 5b = 20 + 4

2b = 24

b = 24/2

b = 12

But RST = 5b + 20

substitute for b

RST = 5(12) + 20

RST = 60 + 20

RST = 80