Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?

Options:

75°

45°

65°

55°

Correct Answer:

55°

Explanation:

Let the measure of each unknown angle be \({a}^\circ\). We know that the sum of the angles of a triangle is \({180}^\circ\).

Therefore, a + a + 70 = \({180}^\circ\)

= 2a = (\({180}^\circ\) - \({70}^\circ\))

= 2a = \({110}^\circ\)

= a = \({55}^\circ\)

Therefore, a is \({55}^\circ\).