Question

plzz answer this question...

25 points

Answer 1

2)AD || BC means its a parallelogram
angle A= C= 50 °
angle B =180-50=130°
angle B= D
1) y =75° (alternate angle)
z=45° (alternate angle)
x=180-(75+45)
=180-120=60°

Answer 2

(1) In the figure,
75° + x° + 45° = 180°
120° + x° = 180°
x° = 180° - 120°
x° = 60°

In ΔABC.
∠BAC = 75° [alternate interior angles]
∠ACB = 45° [alternate interior angles]

∴x = 60° , y = 75° , z = 45°

(2) In the given figure,
∠DAB = 50°
∠DAB + ∠ABC = 180°
50° + b = 180°
b = 180 - 50
b = 130°

As opposides are parallel to each other,it is a parallelogram.

In a parallelogram,
Opposite angles are also equal.

So a = c = 50°
b = d = 130°

Hope it helps