Math, asked by Anonymous, 7 days ago

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.​

Answers

Answered by aviralkachhal007
2

\huge\star\underline{\mathtt\red{A}\mathtt\green{N}\mathtt\blue{S}\mathtt\purple{W}\mathtt\orange{E}\mathtt\pink{R}}\star\:

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Answered by Anonymous
1

Answer:

Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.

Since the adjacent angles of a parallelogram are supplementary.

∠A+∠B=180

⇒3x+2x=180o

⇒5x=180

⇒x=5180o=36

∴∠3×36o=108o

and, ∠B=2×36o=72o

Since the opposite angles are equal in a parallelgram, therefore, 

∠C=∠A=108o and ∠D=∠B=72o

Hence, ∠A=108o,∠B=72o,∠C=108o and ∠D=72o

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