Question

in a quadrilateral ABCD,AB paralled to DC.if angle A:angle D and angle B :angle c =7:8. find the measure of each angle.​

Answer 1

Answer:

Let A and D be 1x and 2x respectively.

Since its given that AB∥CD then,

A+D=180

∘

..... (internal angles on same side of transversal)

⇒x+2x=180

∘

⇒3x=180

∘

⇒x=60

∘

Therefore, A=60

∘

, D=120

∘

Also,

Let C and B be 4y and 5y.

C+B=180

∘

......... (interior angles on same side of transversal)

⇒4y+5y=180

∘

⇒9x=180

∘

⇒x=20

∘

Therefore, C=80

∘

, B=120

∘

.

The given quadrilateral ABCD is Trapezium.