Question

PERSEVERE Find the values of x and y,

Answer 1

y² = 8y - 15 (alternate angles are equal)

y² - 8y + 15 = 0

(y - 5)(y - 3) = 0

y = 5 or 3

x + 8y - 15 = 180 (angles in a straight line add up to 180)

when y = 5

x + 40 - 15 = 180

x = 155°

when y = 3

x + 24 - 15 = 180

x = 171°