In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.
Step-by-step explanation:
We know that sum of alternate angles in a parallelogram is 180°. Using this property, we will solve the question! We have a parallelogram inscribed in a circle with measure of angles as ∠A=100° and ∠D=85°. Now, according to property : ∠A + ∠C = 180° and ∠D + ∠B = 180°.
Let's consider for ∠D + ∠B = 180°:
⇒ 85° + ∠B = 180°
⇒∠B = 180° - 85°
⇒∠B = 95°
Also, for ∠A + ∠C = 180°:
⇒ 100° + ∠C = 180°
⇒∠C = 180° - 100°
⇒∠C = 80°
In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.
