In ΔABC, D is a point on side

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔABC, D is a point on side BC such that ∠ADC = 2 ∠BAD. If ∠A = 70° and ∠C = 48°, then what is the measure of ∠ADB ?

Options:

52°

48°

56°

60°

Correct Answer:

56°

Explanation:

In ΔABC

∠A + ∠B + ∠C = 180°

70° + ∠B + 48° = 180°

∠B = 180° - 118° = 62°

∠ADC = ∠BAD + ∠ABD

2θ = θ + 62°

θ = 62°

∠ADB = 180° - ∠ADC = 180° - 2θ = 180° - 124° = 56°