In a parallelogram $ABCD$, if $\angle B = 135^o$, determine the measures of its other angles.

Given:

In a parallelogram $ABCD$, $\angle B = 135^o$.

To do:

We have to determine the measures of its other angles.

Solution:

We know that,

The Sum of two consecutive angles of a parallelogram is $180^o$.

Opposite angles of a parallelogram are equal.

Therefore,

$\angle A + \angle B = 180^o$

$\angle A + 135^o = 180^o$

$\angle A = 180^o-135^o$

$\angle A = 45^o$

$\angle C = \angle A = 45^o$

$\angle D = \angle B = 135^o$

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Updated on: 10-Oct-2022

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