Q4 of 115 Page 9

If an angle is 30° more than one half of its complement, find the measure of the angle.

Let the angle be "x"


The, its complement will be (90o – x)


Note: Complementary angles: When the sum of 2 angles is 90°.


It is given that angle = 30o + Complement


x = 30o + (90o – x)


x = 30o + 45o - x/2


x + x/2 = 30o + 45o


= 75o


3x = 150o


x= 500


Thus, the angle is 500

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