If ΔABC is isosceles triangle

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If ΔABC is isosceles triangle with AB = AC and ∠ABC is 65°, ∠BCA and ∠BAC are, respectively:

Options:

65° and 50°

75° and 70°

50° and 65°

70° and 75°

Correct Answer:

65° and 50°

Explanation:

AB = AC (ΔABC is an isosceles triangle)

∠ABC = 65°

We know that,

If AB = AC then,

∠ ABC = ∠ACB = 65°

So, ∠BCA = ∠ACB = 65°

∠ABC + ∠ BAC + ∠ACB = 180°

∠BAC = 180° - 130°

∠BAC = 50°