Chapter 7 A Tale of Three Intersecting Lines - Part 7

In triangle ABC, if ∠A - ∠B = 15° and ∠B - ∠C = 30°, find ∠B.

Type: MCQ • Marks: 1
In triangle ABC, if ∠A - ∠B = 15° and ∠B - ∠C = 30°, find ∠B.
Options
A. 65°
B. 50°
C. 45°
D. 55°
Explanation
∠A = ∠B + 15°, ∠C = ∠B - 30°. Sum = (∠B + 15) + ∠B + (∠B - 30) = 3∠B - 15 = 180° => 3∠B = 195° => ∠B = 65°.
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Class 7th Ganita Prakash 1

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