The following are the answers to the questions:
m ∠ SRT + m ∠ PRT = 180° option E
g = 96. option A
m ∠ SRT = 54°. option C
m ∠ PRT = 126° option A
What is the value of g?
The equation to find the value of g is
m ∠ SRT + m ∠ PRT = 180° (supplementary angles
(5/8g - 6)° + (1/4g + 102)° = 180°
5/8g - 6 + 1/4g + 102 = 180
(5+2)g/8 +96 = 180
7/8g + 96 = 180
7/8g = 180 - 96
7/8g = 84
Divide both sides by 7/8
g = 84 ÷ 7/8
g = 84 × 8/7
g = 672/7
g = 96
Therefore,
m ∠ SRT = (5/8g - 6)°
= 5/8(96) - 6
= 480/8 - 6
= 60 - 6
m ∠ SRT = 54°
m ∠ PRT = (1/4g + 102)°
= 1/4(96) + 102
= 96/4 + 102
= 24 + 102
m ∠ PRT = 126°