Question

A

y
D
97⁰
The image is not drawn to scale.
N
B
X
43%
C

Answer 1

x = 40° , y = 43° , z = 97°

Explanation:

the figure opposite sides parallel and is therefore a parallelogram.

• consecutive angles are supplementary

∠ C + ∠ D = 180°

x + 43 + 97° = 180°

x + 140° = 180° ( subtract 140° from both sides )

x = 40°

y and 43° are alternate angles and are congruent, then

y = 43°

• opposite angles are congruent

∠ B = ∠ D , that is

z = 97°