Question

Find the value of xx, yy, and zz in the parallelogram below.
119°
(-4x-5)°
(-y-1)°
(-10z+1)°
Answer
Attempt 1 out of 2

x, equalsx=
y, equalsy=
z, equalsz=

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Answer 1

In a parallelogram opposite angles are equal and adjacent angles are supplementary.

1) Opposite 119° is (-4x−5)°, so
-4x − 5 = 119 → -4x = 124 → x = -31.

2) Adjacent to 119° is (-y−1)°, so
119 + (−y − 1) = 180 → −y +118 = 180 → −y = 62 → y = −62.

3) Opposite (-y−1)° equals (-10z+1)°, so
−y − 1 = −10z + 1. Substitute y = −62:
62 − 1 = −10z + 1 → 61 = −10z + 1 → −10z = 60 → z = −6.

Answer:
x = −31, y = −62, z = −6.