Question

35 POINTS!! GEOMETRY HELP! Find the measures of w, x, y, and z. Prove your answers.

Answer 1

w = 63; x = 86; y = 38; z = 25

Explanation:

Find w:

117 + w = 180 (linear pair)

w = 63

Find x:

x + w + 31 = 180 (sum of measures of interior angles of triangle is 180)

x + 63 + 31 = 180

x = 86

Find y:

x + y + 56 = 180 (sum of measures of three angles equals 180 deg)

86 + y + 56 = 180

y = 38

Find z:

y + z + 117 = 180 (sum of measures of interior angles of triangle is 180)

38 + z + 117 = 180

z = 25