In the figure xyz is an isosceles right triangle. What is the measure of xyz.
A. 135 degrees
B. 50 degrees
c. 90 degrees
d. 45 degrees
Can't see any figure, but I know it can't be
A
We need a picture of the figure
its a triangle
To find the measure of triangle XYZ, we need to determine the angle at vertex X.
Given that XYZ is an isosceles right triangle, we know that it has two equal angles at the base angles XZ and YZ, and one right angle at vertex X.
Since the sum of the angles in a triangle is always 180 degrees, and since we have one angle of 90 degrees (right angle) in XYZ, the sum of the other two angles (XZ and YZ) must be 180 - 90 = 90 degrees.
Since the triangle XYZ is an isosceles triangle, the two base angles (XZ and YZ) are equal. Therefore, each base angle must be 90/2 = 45 degrees.
Thus, the measure of angle XYZ in the isosceles right triangle is 45 degrees.
Therefore, the correct answer is option d. 45 degrees.