PLZZZ ANSWERR ASAPP TYYY The measure of two supplementary angles are in the ratio 1:9. Find the degree measure of each of the two angles.

Smaller=18 degrees; larger= 162 degrees

Step-by-step explanation:

ok so first supplementary angles mean that the two angles added together will equal 180 degrees.

so 1x + 9x = 180 (combine like terms)

10x=180 (divide each side by 10)

x=18

so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162

check: 18 + 162 = 180

5050

hope this !

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240