Four interior angles of a pentagon are 90o – xo, 90o + xo, 110o – 2xo, 110o + 2xo. Find the fifth interior angle
The correct answer is: D
Explanation
Let the fifth interior angle be y: sum of interior angle of a pentagon= (2 x 5 - 4) x 90o
= 6 x 90o
= 540o
(90 - x) + (90 + x) + (110 - 2x) + (110 + 2x) + y = 540o
400o + y = 540o
y = 540 - 400o
y = 140o