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 90^{o}, it is known as complementary angles.

Let us assume that one angle be X^{o}, 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 = 60^{o}.

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

Ans: 60^{o} and 30^{o}.

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