Question

For some reason title keeps glitching out so picture included:

a. 132

b. 48

c. 66

d. 3

Answer 1

A

Explanation:

The base angles are equal, thus we can say:

m∠J = m∠M

15x + 3 = 11x + 15

15x - 11x = 15 - 3

4x = 12

x = 12/4

x = 3

ANgle M and Angle K are opposite angles. For isosceles trapezoids, opposite angles are supplementary (add up to 180). So we can say

Angle M + Angle K = 180

Since we know x = 3, angle M is 11(3) + 15 = 48

THus,

Angle M + Angle K = 180

48 + Angle K = 180

Angle K = 180 - 48 = 132

A is right.