Question

Find the measure of an angle which is half of its complement

Answer 1

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:X + 1 divided by 2 is equal to 90 degree. 3 is equal to 90 degree. 90 divided by 3 is equal to is equal to 30 degree.

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Answer 2

Answer:

Step-by-step explanation:

Let the angle which is half of its complement is x

As, we know that, if two angles are complementary then their sum must be equal to 90 degrees.

So, if x is the angle then its complementary angle will be 90 degrees−x

But it is given that the required angle is half of its complimentary, so

x=90 degrees−x/2

Multiply both the side by 2, we have

2x= 90 degrees −x

Add x to both sides, we get

3x=90 degrees

Divide both the side by 3, we obtain

x= 90 degrees/3

x=30 degrees

Hence, the required angle is 30 degrees.

Note- In order to solve such problems, students must consider the given angle in an unknown variable and use the property of the angles given in the problem to form the equation. Also, students must remember the concept of complementary angle, supplementary angle, and linear pair.