Question

In a parallelogram ABCD, if B =75°,find measure of C

Answer 1

Answer:105°

Step-by-step explanation:

As ABCD is a ||gm so adjacent angle sum is 180°

So angle B + angle C= 180°

75°+ angle C =180°

Angle C = 105°

Answer 2

Given,

ABCD is a parallelogram.

Angle B = 75°

To find,

The value of angle C.

Solution,

The value of angle C will be 105°.

According to the question,

ABCD is a parallelogram.

Angle B = 75°

Now, we know that angles B and C are adjacent angles.

And the sum of adjacent angles of a parallelogram is 180°.

So,

Angle B + angle C = 180°

75° + angle C = 180°

Moving 75° from LHS to RHS,

Angle C = (180-75)°

Angle C = 105°

Hence, the value of angle C is 105°.