Hello!
A triangle is 180 degrees, and you are given one of the angles, which is ∠P = 26 degrees.
Angle Q is a right angle, and this triangle is therefore a right triangle, so one angle has to be 90 degrees, and the other two angles are acute.
So we can create a simple equation:
m∠P + m∠Q + m∠x = 180 degrees
26 + 90 + m∠x = 180
116 + m∠x = 180
-116 - 116
m∠x = 64 degrees.
The measure of angle x is equal to 64 degrees, which is the fourth choice.
