Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔABC, AB = AC, and ∠BAC is 50°. Then ∠ABC and ∠BCA are, respectively:

Options:

50° and 55°

65° and 65°

70° and 75°

55° and 55°

Correct Answer:

65° and 65°

Explanation:

We have,

AB = AC

∠BAC = 50o

According to the question,

As AB = AC so, ∠ABC = ∠BCA

= ∠ABC + ∠BCA + ∠BAC = 180°

= ∠ABC + ∠BCA = 180° – 50°

= ∠ABC + ∠BCA = 130°

= ∠ABC + ∠ABC = 130°

= 2∠ABC = 130°

= ∠ABC = ∠BCA = 65°