Question

Attached geometry question. Please help. 100 points, will mark branliest.

Answer 1

$\large{\rm{\underline{\underline{Answer:}}}}$

Since ∆AFB is similar to ∆ABC.

• < F = < B (corresponding angle)
• < G = < C (corresponding angle)
• < A = common.

In ∆ABC,

⇛< A + < B + < C = 180°

⇛37° + 65° + < C = 180°

⇛102° + < C = 180°

⇛< C = 78°

We know that, < AGF / < G = < C

So, Measure of angle < AGF = 78° (ans)