Question

Find the values of x and y if triangle PQR~ triangle STU.

Answer 1

x° = 54

y = 14

Explanation:

Sum of interior angles of a triangle = 180, therefore:

79 + 16 + m∠P = 180

m∠P = 180 - 79 - 16 = 54

m∠RPQ = m∠UST = x° = 54°

64/16 = 28/(y-7) solve for y:

64(y-7) = (28)(16) = 448

y - 7 = 448/64 = 7

y = 7 + 7 = 14