Question

$\boxed {\bf{Class \:9th \:Question :}}$ ▪Two adjacent angles of a parallelogram have equal measure. Find the measurement of each of the angles of the parallelogram. (A) 60° (B) None of these (C) 30° (D) 90° $\tt {Quality\: Answer\: Required. }$

Answer 1

Answer:

D) 90° is ur correct answer ....

Step-by-step explanation:

It is solution...

Let ABCD be the parallelogram with ∠A = ∠B.

We know: Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.

Hope it may helps u....

Answer 2

$\huge\sf\pink{Answer}$

☞ Your answer is Option D

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$\huge\sf\blue{Given}$

✭ Two adjacent angles of a parallelogram have equal measures

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$\huge\sf\gray{To \:Find}$

◈ Measure of each of the Angles

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$\huge\sf\purple{Steps}$

$\large\underline{\underline{\sf Let}}$

◕ ∠ACD = x

As ∠ACD = ∠CDB

◕ ∠CDB = x

So here if we see we are given that adjacent angles are equal so we know that in a parallelogram adjacent angles add up to 180°

➝ $\sf ACD + ∠CDB = 180^{\circ}$

➝ $\sf x + x = 180^{\circ}$

➝ $\sf 2x = 180^{\circ}$

➝ $\sf x = \dfrac{180}{2}$

➝ $\sf \orange{x = 90^{\circ}}$

Easy Way

Just think this if adjacent angles are equal then what shape will it be, either a square or a rectangle so then what are their angles, they are all 90°, there you go hence solved

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