Question

The measure of two adjacent angles are in the ratio 3:2. Find the measure of each of the angle of the Parallelogram​

Answer 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=180o

⇒3x+2x=180o

⇒5x=180o

⇒x=5180o=36o

∴∠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

Answer 2

Measures = x

Ratio = 3:2

Let first angle be A = 3x

Let second angle be B = 2x

Sum of Angles of Parallelogram = 180°

Equation = 3x+2x = 180°

= 5x = 180°

= x = 180/5 = 36

A = 3x = 3×36 = 108°

B = 2x = 2×36 = 72°

The opposite sides are equal in a parallelogram

Opposite of A = C = 108°

Opposite of B = D = 72°

Final Answer = A - 108°, B - 72°, C - 108°, D - 72°.

I HOPE IT WILL HELP YOU!!!

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