Section: Math Section 1

10)
In the triangle above, if the measure of angle B is 52
degrees, then what is the value of y?

1. 20
2. 22
3. 24
4. 28
5. 30

In the figure angle B is labeled (2x + 2)° and in the question stem you’re told that angle B measures 52°. So, 2x + 2 = 52, and x = 25. That means that angle A, which is labeled (4x)°, must measure 4 x 25, or 100°. Since the three angles of a triangle must add up to 180°, 52° + 100° + y° = 180°, and y = 28.