Question

Consider the diagram below. Which of the following represents the values of x and y?

A;x=44 and y=43, B;x=43 and y=44, C;x=y=90, D;x=89 and y=91

Answer 1

Answer:b

Explanation:

add 2x and 3y+8 and equal it to 180

Answer 2

Option A; x=44 and y=43

Explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the value of x

2x°+(2x+4)°=180°

4x=180°-4°

4x=176°

x=44°

step 2

Find the value of y

(3y+8)°+(y)°=180°

4y=180°-8°

4y=172°

y=43°