Question

In a quadrilateral, ∠A = ∠B = 75° and ∠D = 110°, find ∠C.

Answer 1

Answer:

The Angle sum of a quadrilateral = 360°

∠A = 75°

∠B = 75°

∠C = x°

∠D = 110°

∠A + ∠B + ∠C + ∠D = 360°

75° + 75° + x° + 110° = 360°

260° + x° = 360°

x = 360° - 260° =100°

Therefore ∠C = 100°

Hope this helps...

Answer 2

solution:

sum of all angles in a quadrilateral = angle A + Angle B + angle C + angle D = 360°

angle A = 75°

angle B = 75°

Angle C = lets assume as 'x'

Angle D = 110°

so, as per equation

we get,

75° + 75° + x° + 110° = 360°

260° + x° = 360°

x° = 360° - 260°

x° = 100°

therefore Angle C = 100°

Answer:

angle C = 100°