In the figure, if ∠A = 100° then

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the figure, if ∠A = 100° then ∠C = ?

Options:

50°

90°

80°

100°

Correct Answer:

80°

Explanation:

\(\angle\)A = 100

As we know,

\(\angle\)A + \(\angle\)C = 180 [opposite angles of cyclic quadrilateral]

= 100 + \(\angle\)C = 180

= \(\angle\)C = 180 - 100 = 80

Therefore, \(\angle\)C is \({80}^\circ\).