Question

ABCD is a parallelogram with angle a = 65 find angle b +angle d

Answer 1

115

Step-by-step explanation:

angle a + angle b= 180( linear pair )

65+angle b=180

angle b=180-65 angle b=115 angle d = 115

angle b= angle d=115(opposite angle are equal)

Answer 2

Given:

ABCD is a parallelogram with angle a = 65°.

To find:

angle b +angle d

Solution:

First of all, we should know that in a parallelogram ABCD having angles- angle a, angle b, angle c and angle d, the sum of opposite angles are equal.

This means,

angle a = angle c

and

angle b = angle d

Also,

the sum of adjacent angles of a parallelogram is 180°. They are said to form a linear pair.

This means,

angle a + angle b = 180°

angle b + angle c = 180°

angle c + angle d = 180°

angle a + angle d = 180°

So,

as given, we have a parallelogram ABCD where angle a = 65°.

So,

angle a + angle b = 180°

65° + angle b = 180°

angle b = 180°- 65°

angle b = 115°

Also,

angle b = angle d = 115° (opposite angles)

So,

angle b +angle d = 115° + 115° = 230°

Hence, angle b +angle d is equal to 230°.