Three angles of a quadrilateral are 80°, 95° and 112°. Its fourth angle is
(a) 78°
(b) 73°
(c) 85°
(d) 100°

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Solution

(b) 73°

Explanation:
Let the measure of the fourth angle be x^o.
Since the sum of the angles of a quadrilateral is 360^o, we have:
80^o + 95^o + 112^o + x = 360^o
⇒ 287^o + x = 360^o
⇒ x = 73^o
Hence, the measure of the fourth angle is 73^o.

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