Question

in a parallelogram abcd if angle a=115,find angle b angle c and angle d

Answer 1

We know that opposite angles are equal and sum of adjacent angles are 180.

So

∠A = 115

∠B = 180 - 115 = 65

∠C = 115

∠D= 65.

Answer 2

Given:

• ABCD is a paralellogram.
• ∠A = 115°

To Find:

• The value of ∠B, ∠C, and ∠D

Solution:

First, draw a parallelogram for a clear understanding.

We know that in a parallelogram, opposite angles are equal, from the figure we can say,

⇒ ∠A =  ∠C = 115°

We also know that the addition of adjacent sides in a parallelogram is equal to 180°. From the figure, we can say,

⇒ ∠A+∠B = 180°

⇒ 115°+∠B = 180° {substituted the value of angle A}

⇒ ∠B = 180°-115° {subtracting the terms}

⇒ ∠B = 65° and ∠B = ∠D = 65° {opposite angles are equal}

∴ The value of ∠B = 65°, ∠D = 65°, and ∠C = 115°.