Question

Find the measure of all the four angles of a parallelogram whose consecutive angles are in the ratio 1 : 3.
plz answer step by step ​

Answer 1

Given :-

• The two consecutive angles of parallelogram are in ratio 1:3.

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To find:-

• All four angles of parallelogram.

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$\huge \tt \: Solution$

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Let one consecutive angle be 1x.

And second consecutive angle be 3x.

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We know that,

Sum of two consecutive angles of parallelogram are equal to 180°.

So,

⇒1x + 3x = 180°

⇒4x = 180°

⇒x = 180°/4

⇒x = 45°

One consecutive angle is 45°

Second consecutive angle is 3 × 45° = 135°

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We know that,

Opposite angles of parallelogram are equal.

So,

First angle = 45°

Second angle = 135°

Third angle = 45°

Fourth angle = 135°.

Answer 2

Refer to the attachments!!

Hope it helps you!!

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