Question

What is the measure of the angle?

Answer 1

The 65 degrees lies in the beginning of the 2nd quadrant where the second quadrant starts with 90 degrees.

So the angle is 90 degrees + 65 degrees = 155 degrees

The fourth one is the answer

Answer 2

Remember that the x-axis and the y-axis make an angle of 90° in the first quadrant. To find the measure of the angle we just need to add the smaller angle, 65°, and the right angle between the axis 90°:

Measure of the angle=65°+90°=155°

We can conclude that the measure of the bigger angle in the picture is 155°