Question

Could someone help me with this please!

Answer 1

A. 42 degrees
The measure or angles 1, 3, and 4 add up to 180 degrees. because angle 1 is 3x and and 4 is 3x-6 and the measure of angle 3 is 90 degrees, it can be rewritten as 3x+90+3x-6=180, which can then be simplified to 6x+84=180, which using algebra proves that x is equal to 16. since the measure of angle 2 and 4 are the same, the measure of angle 2 can also be written as 3x-6, and substituting x for 16, the measure of angle 2 is equal to 42 degrees.

Answer 2

Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96

x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)