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Aptitude · Q122

Geometry

Competitive Exams · Aptitude · question 122

Q122

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 118°. What is the measure of ∠BAC?

A.
32°
B.
28°
Answer
C.
45°
D.
30°

Answer: Option B

Solution

Answer: Option B
Solution:
∠C = 90°
∠B = 180° - 118° = 62°
∠BAC = 180° - (62° + 90°) = 28°