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