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Answer:
angle B = angle C (Alternate interior angles)
So, angle C = 75°
here, angle B + angle CBA =180° (Linear angles)
75° + angle CBA=180 °
angle CBA = 180°- 75°
angle CBA= 105°
Here, angle CBA = angle A (opposite angles of parallelogram are equal)
angle A =105°
In triangle DAC
angle A +35° + angle DCA =180° (Angles sum property)
angle DCA= 180°- 140°
angle DCA = 40°
So, angle B = angle C - angle DCA
angle B = 75°-40°
angle B = 35°
In triangle ABC
angle C + angle B + angle CBA = 180°. (Angle sum property)
angle C= 180° - 140°
angle C = 40°
So, angle A = 105°
angle B = 35°
angle C = 40°
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