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What's the answer to this math picture please?

What's the answer to this math picture please?-example-1
User WaelJ
by
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1 Answer

2 votes

Answer:

m<BGC = 145°

Explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB


3x + 20 = 8x - 5 (substitution)

Collect like terms


3x - 8x = -20 - 5


-5x = -25

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°

User Bpn
by
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