Question

ABCD is a quadrilateral In which AD is parallel to BC . If angle A = 110 degree and D = 130 degree , what are the measures of the other two angles

Answer 1

To Find:-

The measure of other angles :-

∠B and ∠C

Given:-

∠A = 110°

∠D = 130°

Solution:-

step-by-step explanation:

ABCD is a parallelogram where ,

∠A = 110° and ∠D = 130°

∴ ∠A + ∠B = 180° ( as adjacent angles are supplementary )

So,

⟹ 110° + ∠B = 180°

⟹ ∠B = 180 - 110

⟹ ∠B = 70°

Now,

∴ ∠C + ∠D = 180° ( as adjacent angles are supplementary )

⟹ ∠C + 130 = 180°

⟹ ∠C = 180 - 130

⟹ ∠C = 50°

Required Answer:-

The angles are :-

∠A = 110°

∠B = 70°

∠C = 50°

∠D = 130°

Key Concepts

• A supplementary angle measures 180°
• A complementary angle measures 90°

What is a parallelogram??

Ans) A quadrilateral in which both pairs of opposite sides are parallel is called a parallelogram.

Answer 2

angle are 110°,70°,130°,50°