Question

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Answer 1

170° and 52°

Explanation:

∠ WZY and ∠ YZA are adjacent angles and sum to 180° , that is

∠ WZY + 10° = 180° ( subtract 10° from both sides )

∠ WZY = 170°

The sum of the angles in a quadrilateral = 360°

sum the angles and equate to 360

∠ XYZ + 170° + 38° + 100° = 360°

∠ XYZ + 308° = 360° ( subtract 308° from both sides )

∠ XYZ = 52°

Answer 2

WZY=170°

XYZ=60°

Explanation:

Straight line, so WZY=180-10=170

Angles in a quadrilateral add to 360°, so:

100+30+170=300

360-300=60

XYZ=60°