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MATHEMATICS

JAMB 2010 - Question 29

Mathematics 2010 JAMB Past Questions - Question 29: The interior angles of a quadrilateral are (x + 15)°, (2x - 45) ° , ( x - 30)° and (x + 10)°. Find the value of the least interior angle.

The interior angles of a quadrilateral are (x + 15)°, (2x - 45) ° , ( x - 30)° and (x + 10)°. Find the value of the least interior angle.

A: 112°

B: 102°

C: 82°

D: 52°

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Correct Answer

Explanation

(x + 15)° + (2x - 45)° + (x + 10)° = (2n - 4)90°when n = 4x + 15° + 2x - 45° + x - 30° + x + 10° = (2 x 4 - 4) 90°5x - 50° = (8 - 4)90°5x - 50° = 4 x 90° = 360°5x = 360° + 50°5x = 410°x = 410°/5= 82°Hence, the value of the least interior angle is (x - 30°)= (82 - 30)°= 52°