Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the triangle, If AB = AC and ∠ABC = 72°, then ∠BAC is:

Options:

36°

30°

54°

18°

Correct Answer:

36°

Explanation:

In a triangle ABC,

AB = AC

So, ABC is an isosceles triangle.

∠ABC = 72°

Equal sides of a triangle form equal corresponding angle.

⇒ ∠ABC  = ∠ACB = 72°

In a triangle ABC,

∠ABC +∠ACB +∠BAC = 180°

 72° +  72° +∠BAC = 180°

∠BAC = 36°