Question

A parallelogram has one angle that measures 65°. What are the measures of the other three angles in the parallelogram?

Answer 1

Hey Mate..!!

Here's Your Answer..!!

If one angle of the parallelogram measures 65°.
Then other angle which is collinear to it will be-
=180°-65°
=115°

Now, as we know, Opposite angles of a parallelogram are equal-
So, The angle opposite to 65° = 65°
And, the angle opposite to 115° = 115°.

Therefore, other angles of parallelogram are-
115°, 65°, 115°.

Hope This Helps..!!

#BeBrainly❤️

Answer 2

Answer:

Step-by-step explanation:

Let ABCD be the parallelogram

Angle A = 65°

Angle C will also be 65° (because opposite angles in a parallelogram are equal.)

Now,angle A + angle B + angle C + angle D = 360° ( angle sum property of a parellogram) ......1

Let angle B be x

Then, angle D will also be x ( opposite angle of a parallelogram are equal)

Now, putting values in 1

65°+ x + 65° +x=360°

130°+2x = 360°

2x = 360°-130°

2x = 230

x = 230/ 2

x = 115°

Therefore angle B = angle D =115°

Hope it will help you!!

Thank u