Question

URGENT: DUE TODAY
In the picture, k || p, m 21 = 2x + 24, and mz3 = 10x. Find m<2.

Answer 1

50°

Explanation:

Hi! Angle 3 and Angle 1 are supplementary pair, which means they equal 180°. We can add these two expressions together to solve for x:

Angle 3 + Angle 1 = 180

(10x) + (2x + 24) = 180

10x + 2x + 24 = 180 combine like terms

12x + 24 = 180 subtract 24

12x = 156 divide by 12

x = 13

Now we'll use x to find Angle 1:

2x + 24

2(13) + 24

26 + 24

50

Angles 1 and 2 are congruent, so if Angle 1 is 50°, Angle 2 is also 50°