Reading Time: < 1 minute
Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE PS GMAT OG
Solution:
We are given a right triangle with the following angle measurements:
angle A = (y + 10)°
angle B = y°
angle C = 90°
We first determine the value of y by summing the 3 angles to 180. (Remember that the sum of the interior angles of any triangle is always 180 degrees.)
(y + 10) + y + 90 = 180
2y + 100 = 180
2y = 80
y = 40
Thus, angle A = 50 and angle B = 40.
Now we can determine the ratio of the measure of angle B to the measure of angle A.
measure of angle B/measure of angle A = 40/50 = 4/5, or 4 to 5.
Answer: D
