Question

the difference on the mesure of two complementry angle is 12 digree. find the mesure of angle​

Answer 1

Answer:

If two angles are complementary, the sum of their measures is 90 degrees.

Let one angle be x.

This means that its complement is

90−

x

degrees.

But the difference in their measures is 12degrees.

Therefore, you can write the equation:

x− (90− x)= 12

Since the parentheses are preceded by a minus sign, you can remove the parentheses if you also change the signs of the terms inside the parentheses. Therefore, when you remove the parentheses

the equation becomes:

x− 90+ x= 12

Combine the two x terms on the left side to get:

2x− 90= 12

Get rid of the−90on the left side by adding 90to both sides to get

2x= 102

Solve for x by dividing both sides of the equation by 2 to get:

x=

2

102

= 51

So, the measure of one of the two angles is 51 degrees. Its complement is the amount that

must be added to that angle such that this sum is 90degrees. By subtracting51from90

degrees, you find that the complement of the angle is an angle of 39 degrees.

Note that

the difference in the two angles is

51−

39=

12

degrees, just as the problem specified.

The answer to this problem is that the measures of the two complementary angles are51

degrees and 39 degrees.

Hence, this is the answer.

Step-by-step explanation:

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