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Two angles of a quadrilateral are equal. The third and fourth angles measures $150^{o}$ each What is the measure of equal angles.

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30 °

75 °

60 °

45 °

answer is B.

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Detailed Solution

It is given that the third and fourth angles measures

150^{o}

and other two angles are equal.

Let the measure of two unknown equal angles be x ° . Now, by equating the sum all given angles with 360 °, we get, x ° + x ° + 150 ° + 150 ° = 360 ° ⇒ 2 x ° + 300 ° = 360 ° ⇒ x ° = 360 − 300 2 ° ⇒ x ° = 30 °

The value of each two equal angles be

30 °

.
Hence, the correct option is 2.

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