Question

In a quadrilateral ABCD angle A plus B is equals to 140° A : C = 1:3 and B : D= 5 :6find the angles A B C D

Answer 1

Step-by-step explanation:

Ratio of angle B and angle D = 1:3

Let angle B = x and angle D = 3x

Ratio of angle A and angle C = 5:6

Let angle A = 5x and angle C = 6x

But Angle B + angle D = 140

x + 3x = 140

4x = 140

X = 35°

Angle B = x =1 x 35 = 35°

Angle D = 3x = 3 x 35 = 105°

As the sum of B and D is 140

degrees..therefore, the sum of angles A

and C is equal to 220 degrees

5x + 6x = 220 = X = 20°

angle A = 5x20 = 100 °

angle C = 6 x 20 = 120°.....