[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
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)
