An angle measures seventeen more than three times a number. Its supplement is three more than seven times the number. What is the measure of each angle?

Respuesta :

Answer:

If the angles are supplementary angles, that means that they add up to be 180˚.

Angle A is 3x+17 (17 more than 3 times a number) and Angle B is 7x+3 (3 more than 7 times the number).

Both of these added together is equal to 180, so you get: 3x+17+7x+3=180

Combine like terms and get: 10x+20=180

Subtract 20 from both sides: 10x=160

Divide both sides by 10: x=16

Now you have your number.

To find the angles, plug the number back into the statements.

Angle A: 3(16)+17=65˚

Angle B: 7(16)+3=115˚

Check to make sure they add up to equal 180: 65+115=180 √

And you're done!

- hope this helps!:)