Math, asked by rsgaikwad12, 1 month ago

शेजारील आकृतीमध््े रेषा AC आवण BD परस्परांना वबंिू P मध््े छेितात. ∠ = ° तर ∠ आवण ∠ ्ांची मापे

वलहा.

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Answered by rujulrambhad
1

Answer:

Measure of x is 30 and ∠BAD is 120°.

Step-by-step explanation:

CD is a straight line. Which means ∠CAD and ∠BAD are linear pair.

Linear pair is a pair of adjacent angles, their sum is 180°.

Measure of ∠CAD = 2x°

Measure of ∠BAD = (5x - 30)°

According to linear pair theorum, angles in a linear pair are supplementary.

\longrightarrow⟶ 2x + (5x - 30) = 180

\longrightarrow⟶ 7x - 30 = 180

\longrightarrow⟶ 7x = 180 + 30

\longrightarrow⟶ 7x = 210

\longrightarrow⟶ x = 210/7

\longrightarrow⟶ x = 30

Value of x = 30

★ Measure of ∠BAD :

\longrightarrow⟶ 5(30) - 30

\longrightarrow⟶ 150 - 30

\longrightarrow⟶ 120°

Measure of ∠BAD = 120°

Therefore, measure of x is 30 and ∠BAD is 120°.

Answered by Anonymous
1

Answer:

St                                    /ipr-uxbo-ixw

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