The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement. -7th grade math

The measurements of the two angles are 67.5° and 112.5°

Step-by-step explanation:

We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.

3x + 5x = 180

Combine like terms.

8x = 180

Divide 180 by 8.

x = 22.5

Now, we plug in x to 3 and 5.

3 * 22.5 = 67.5

5 * 22.5 = 112.5

Just to make sure our work is correct, let's add these numbers together.

67.5 + 112.5 = 180

1: 58

2: 140

Step-by-step explanation:

For blank 1:

arc SU is 180, this is because its the angle of the diameter.

arc TU is 122, because its the double of angle S, so 61 times 2 is 122.

- We know that a circle is 360 degrees, so 180 + 122 is 302

-Therefore 360-302=58.

For question 5:

Arc CA is 180, because it's the angle of the perimeter

Arc BC is 40, because its the double of angle A, so 20 times 2 is 40.

-  We know that a circle is 360 degrees, so 180 + 40 is 220.

- Therefore 360-220=140