In the figure below, $a = 10$ , $b = 5$ , and $c = 45$ .
What is the measure of angle y ?
A) 99
B) 189
C) 90
D) 9
E) none of these

Question

In the figure below, $a = 10$ , $b = 5$ , and  $c = 45$ .
What is the measure of angle y ? 
A) 99 
B) 189 
C) 90 
D) 9 
E) none of these

Quizplus · Accepted Answer

In a right triangle, the sum of the two acute angles is always 90 degrees. We know that angle x is 45 degrees (given value of c) and angle z is 90 degrees (by definition of a right angle). Therefore, y must be the remaining acute angle and its measure is 45 degrees (90 - 45 = 45). So the best choice is C.

In the Figure Below a=10a = 10a=10 b=5b = 5b=5 , And

In the Figure Below $a = 10$ $b = 5$ , And