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What is the measure of each exterior angle of the right triangle?

x = _°
y = _°
z = _°

X=90 degrees, Y=134 degrees, Z=136 degrees

Step-by-step explanation:

X=90 degrees. It is supplementary to the right angle or forms 180 degrees with it.

The triangle angles add up to 180 degrees.  Therefore, the angle supplementary to Y is 180-(90+44)=46.  Now, 180-46=134.  You could also use the exterior angle theorem which states that the exterior angle is equal to the sum of the two remote interior angles.  The 2 remote interior angle to y would be 90 and 44.  90+44=134=y.

Z is  supplementary to 44 because it is also 180 degrees.  Z=180-44=136 degrees.

x = 90

y = 134

z = 136

Step-by-step explanation:

The right angle measures 90 degrees.

x + 90 = 180

x = 90

z + 44 = 180

z = 136

Theorem:

The measure of an exterior angles of a triangle equals the sum of the measure of the two remote interior angles.

Using the theorem, we get

y = 90 + 44

y = 134

x = 90

y = 134

z = 136