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3 years ago

A parallelogram has one angle that measures 135 degrees. What are the measures of other three angles in the parallelogram?

Mathematics

2 answers:

geniusboy [140]3 years ago

6 0

Answer:

The measure of other three angles are 135° , 45° and 45°

Step-by-step explanation:

The opposite angles of a parallelogram are equal.

So if we consider a parallelogram ABCD ,

Angle A = Angle C

Angle B = Angle D

If we take angle A = 135° then angle C = 135°

SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.

A+B+C+D=360°

135°+B+135°+D=360°

270°+B+D=360°

But B=D

So,2B=90°

B=45°

D=45°

So A = C = 135°

A = C = 135° B = D = 45°

Read more on Brainly.in - https://brainly.in/question/15571497#readmore

notsponge [240]3 years ago

3 0

Answer:

The measure of other three angles are 135° , 45° and 45°.....

Step-by-step explanation:

The opposite angles of a parallelogram are equal.

So if we consider a parallelogram ABCD ,

Angle A = Angle C

Angle B = Angle D

If we take angle A = 135° then angle C = 135°

SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.

A+B+C+D=360°

135°+B+135°+D=360°

270°+B+D=360°

But B=D

So,2B=90°

B=45°

D=45°

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Step-by-step explanation:

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In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

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