<1 and <2 are supplementary angles, m<1 = x - 17, and m<2 = x+83. Find the measure of each angle.

Hello!

Supplementary angles sum up to 180°, therefore:

m∠1 + m∠2 = 180°

x - 17 + x + 83 = 180°

Combine like terms:

2x + 66 = 180°

Subtract 66 from both sides:

2x = 114°

Divide both sides by 2:

x = 57°

Find the measures of both angles using this value:

m∠1 = 57 - 17 = 40°

m∠2 = 57 + 83 = 140°

Angle 1: 40 degrees

Angle 2: 140 degrees

Step-by-step explanation:

1. Supplementary angles have a sum of 180 degrees. That being said, add the two expressions together and set them equal to 180. Then solve for x.

x-17+x+83=180 (combine like terms)

2x+66=180 (subtract 66 from both sides)

2x=114 (divide by 2)

x = 57

2. Now that you have determined that x is 57, plug that back into each expression to figure out the measurements for both angles.

Angle 1: 57 - 17 = 40.

Angle 2: 57+83 = 140

3. You can check your work by adding the two measurements and making sure that they equal 180 degrees. 40 + 140 does equal 180, and that is how you know solved it correctly. :)

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)