Question

2) In a cyclic quadrilateral ABCD,
angle B = (5x+40) and angle D=
(8x+23), then find the measure of
angle B .....
Answer:
Angle B=
*​

Answer 1

Answer:

According to the problem,

6x + 10 + x + y = 180

or, 7x + y = 170

or, y = 170 - 7x

Again, 5x + 3y - 10 = 180

or, 5x + 3y = 190

or, 5x + 3(170-7x) = 190

or, 5x + 510 - 21x = 190

or, -16x = -320

or, x = 20

So, y = 170 - 7x = 170 - 140 = 30

So, measure of all angles are 130°, 100°, 50°, 80°

Step-by-step explanation:

hope it helps you