Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A,B,C are three angles of a triangle. If A - B = 45° and B - C 15° then ∠A =?

Options:

83°

85°

95°

75°

Correct Answer:

95°

Explanation:

∠A + ∠B + ∠C  = \({180}^\circ\)   ..(1)

∠A  - ∠B = \({45}^\circ\)   ..(2)

∠A  - ∠B = \({15}^\circ\)   ..(3)

(1) + (2) + (3)

2∠A + ∠B = \({240}^\circ\)   ..(4)

Solving (4) and (2),

∠A  = \({95}^\circ\)