Question

Find x in the given diagram.​

Answer 1

Answer:

In triangle ABC,

By angle sum prop of a triangle

Angle ACB = 35° — (1)

In triangle EDF,

Angle EFD = 50°—(2)

Now, In triangle FGC

By angle sum prop,

Angle (GCF + GFC + FGC) = 180°

35° + 50° + Angle FGC = 180° [ From (1) and (2)]

So, angle FGC = 180° - (35° + 50°) = 95°

Now, angle FGC = angle AGE (x) [Vertically opposite angles are equal]

So, x = 95°.

Hope this helps!!!