Question

In quadrilateral ABCD, ∠A +∠C =140⁰, ∠ A: ∠ C = 1:3 and ∠B : ∠ D =5:6.Measure of ∠B =​

Answer 1

Answer:

< A + < C = 140°

hence,

<B + <C = 180° - 140°

= 40°

< B : < D = 5:6

let the common multiple be x.

hence,

< B= 5x

< D =6x

so,< B + < D = 40°

5x + 6x = 40°

11x =40°

$x = \frac{40}{11}$

hence,

$B = 5x = 5 \times \frac{40}{11}$

B = 18.51°

Answer 2

Answer:

measure of angle B = 18.51°