103k views
3 votes
Given that the quadrilateral is a trapezoid, XW ≅ YZ and m∠Z = 44° , what is m∠X?

Given that the quadrilateral is a trapezoid, XW ≅ YZ and m∠Z = 44° , what is m∠X?-example-1
User Junho
by
3.6k points

2 Answers

1 vote

Answer:

Angle X =136 degrees

Explanation:

User Crytrus
by
4.1k points
3 votes

Answer:

angle X = 136 degrees

Explanation:

Given XYZW is a trapezoid means XY || WZ.

Given XW ≅ YZ means that base angles are equal

=>

XWZ = YZW = 44

Since interior angles between parallel lines are supplementary,

angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees

User Will Vanderhoef
by
3.6k points