Answer:
38
Step-by-step explanation:
In this picture, we see that angle A is part of a triangle formed by these rays. We will use this info later on. For now, let's look at the angle of 60 degrees. Let's find the angle adjacent to it. 180-60= 120. We have 2 out of 3 angles in the triangle. We can find the last angle by using the vertical angles theorem. The angle vertical to the angle with a measure of 2x is also 2x. So, we have all the angles in the triangle; 5+3x, 120, and 2x. Let's set up an equation where all of these angles equal 180 degrees.
(5+3x) + 120 + 2x=180
125+5x=180
5x= 55
x=11
But we are not done yet. WE need to find the angle (5+3x). So, let's substitute our x value in this expression.
5+3(11)
5+33
38
