Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If ∠ABC = 98°, then what is the measure of ∠APC?

Options:

22°

26°

16°

14°

Correct Answer:

16°

Explanation:

\(\angle\)APC = 180 - 2\(\angle\) = 180 - 2 x 82 = \({16}^\circ\).

Therefore, \(\angle\)APC is \({16}^\circ\).