Sum of an angle and half of its complement angle is 75`. find the angle.

Solution:

As we know that when the sum of two angles is equal to 90o, it is known as complementary angles.

Let us assume that one angle be Xo, then the other angle wiil be (90 - X)o.

So the equation we get is

X + 1/2 of (90 - X) = 75

2X + 90 - X/2 = 75

X + 90 = 150

X = 150 - 90 = 60o.

Since one angle is 60o, then the other angle will be (90 60) = 30o.

Ans: 60o and 30o.

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