Find the measure if two complementary angles if the measure of the larger angle is 10 more than the measure of the smaller angle.

50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

Hope I helped!

8

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.