Question

Help please. thanks if you do​

Answer 1

• m∠BGF = 80°

Explanation:

As per diagram, the angles BGC and CGF are marked as congruent.

It gives us:

• ∠BGC ≅ ∠CGF or
• 7x - 2 = 8x - 8

Solve it for x:

• 8x - 7x = 8 - 2
• x = 6

Find the angle measures:

• m∠BGC = m∠CGF = 7*6 - 2 = 42 - 2 = 40

To find the measure of ∠BGF consider the angle addition:

• m∠BGF = ∠BGC + ∠CGF
• m∠BGF = 40 + 40 = 80