Question

Find the missing measures of the following rectangle

Angle XWY=

Angle YXZ=

Angle WVZ=

Angle XWZ=

Angle XZY

Answer 1

see explanation

Explanation:

In a rectangle

• All angles are right angles

• the diagonals are congruent

In Δ WXV the sum of the 3 angles = 180°

∠ WXZ = ∠ XWY =
`(180-64)/(2)` =
`(116)/(2)` = 58°

∠ YXZ = 90° - 58° = 32°

∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )

∠ XWZ = 90° ( by definition of rectangle )

∠ XZY = ∠ WXZ = 58° ( corresponding angles )