Question

In a quadrilateral ABCD,the angles A,B and C are in the ratio 1:3:7.Find (a) angle D (b) angle C given that the sum of angle A,B,C Is 187°

Answer 1

Let angle A be
`x`, angle B be
`3x`, and angle C be
`7x`

A+B+C = 187

`x+3x+7x=187`

`11x=187`

`x=17`

Angle A = 17°
Angle B= 51°
Angle C= 119°

Angle D = 360 - (17+51+119) = 173