Use the relationship in the diagrams below to solve for x. show all work.

a. x = 24

b. x = 40

Step-by-step explanation:

a.

You are given a right triangle, so use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 576

x = 24

b.

The sum of the measures of all angles is 360 degrees.

x + 2x + 2x + 20 + 3x + 20 = 360

8x + 40 = 360

8x = 320

x = 40

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: