In triangle ABC, if AB=BC and ∠B = 7

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

Options:

70°

110°

55°

130°

Correct Answer:

55°

Explanation:

According to the question,

AB = BC

Hence, ∠A=∠C

and ∠B = 70°

By angle sum property of triangle we know:

∠A+∠B+∠C = 180°

2∠A+∠B=180°

2∠A = 180-∠B = 180-70 = 110°

∠A = \(\frac{ 110}{ 2}\)

∠A = 55°