Question

What's the answer to this math picture please?

Answer 1

Answer:

m<BGC = 145°

Step-by-step 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°