Question

Find each angle of a parallelogram if two consecutive angles are in the ratio 1:3​

Answer 1

Answer:

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Step-by-step explanation:

some of adjacent angles of parallelogram is 180 degree..

so.. let no. X

x +3x =180

4x =180

x=180/4

45degree

so.. one angle is 45...other one is

3*45=135

and the opposite angles of parallelogram

are equal

so.. angle opposite to 45 will be of 45 degree.. and opposite to 135 will be of

135 degree

Answer 2

The sum of the consecutive angles is 180 degree

in a parallelogram so now. Let the angles be x. So, x+3x=180 degree

⇒4x=180 degree

∴x=45 degree

∴ Smallest angle =45 degree

and largest angle =3x=135 degree

Hence, the answer is 45 degree

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