Question

the measure of an angle of paraleelogram is 105 degree find its remaining angles

Answer 1

Opposite angles are equal

so 2 angles are 105 degrees

all angles of parallelogram = 360

105+105+x+x=360

2x=150

x=75

therefore all the angles are 105,105,75,75

Answer 2

SOLUTION:

Given:

The measure of an angle of parallelogram is 105°.

We know that, in parallelogram opposite angles are equal.

So,

angle B= angle D= 105°

In ||gm consecutive angles are supplementary to each other is 180°

=) angle A + angle B= 180°

=) angle A + 105° = 180°

=) angle A= 180° - 105°

=) angle A= 75°

So,

angle C also is 75°

[opposite angles are equal]

Hope it helps ☺️