Question

Determine the value of x and y

Answer 1

Answer:

x = 28, y = 23

Step-by-step explanation:

5y - 4 and 3y are alternate exterior angles and are supplementary, thus

5y - 4 + 3y = 180

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Thus

3y = 3 × 23 = 69

2x + 13 and 3y are corresponding angles and congruent, thus

2x + 13 = 69 ( subtract 13 from both sides )

2x = 56 ( divide both sides by 2 )

x = 28