Question

What is the value of X? Please show your work

Answer 1

Answer:

∠A=40°

∠B=144°

∠C=140°

∠D=36°

Step-by-step explanation:

in a cyclic quadrilateral sum of opposite angles=180°

here ∠B+∠D=180

4x+x=180

5x=180

x=36°

∠D=36°

∠B=180-36=144°

similarly ∠A+∠C=180°

2y+7y=180

9y=180

y=20

∠A=2×20=40°

∠C=7×20=140°