Question

The ratio of an angle to its complement is 13:5. find the measures of the angle and its supplement

Answer 1

Step-by-step explanation: In this problem, we are given that the ratio of an angle to its complement is 13:5 and we are asked to find the measure of each angle.

When the ratio of two angles is 13:5, we can represent the angles as 13x and 5x. Let's call 13x our original angle and 5x its complenet.

Now since we know that an angle and its complement add to 90°, we can set up the equation 13x + 5x = 90.

We can simplify on the left side to get 18x = 90.

Solving from here, we divide both sides by 18 to isolate x and we get x = 5.

Now to find the measures of our angles, we plug a 5 back in for x.

13 (5) = 65

5 (5) = 25

This means that the measure of the angle is 65° and its complement is 25°.

Answer 2

Your answer would be, and angle and its' complements adds up to 90 degrees.

Ratio 13 : 5
90/18 = 5
angles: 13(5) = 65 degrees
                5(5) = 25 degrees
an angle and its' supplement is 180 degrees
Therefore, 180 degrees - 25 degrees = 155 degrees
                   180 degrees - 65 degrees = 115 degrees





hope that helps!!!