Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
[tex] 3x + 20 = 8x - 5 [/tex] (substitution)
Collect like terms
[tex] 3x - 8x = -20 - 5 [/tex]
[tex] -5x = -25 [/tex]
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
