Triangle WXZ is a right triangle. Triangle XYZ is a right triangle. Angle WXY is 86 degrees. What is angle YXZ's measure?
which are the right angles?
To find the measure of angle YXZ, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
In a right triangle, one of the angles is 90 degrees. Let's denote angle WXY as angle X and angle YXZ as angle Y.
We know that angle X = 86 degrees.
Since angle WXY is a right angle (90 degrees), then the sum of the angles X, WXY, and angle YXZ will be 180 degrees. Therefore, we can write the following equation:
angle X + 90 degrees + angle Y = 180 degrees
Substituting the given value, we have:
86 degrees + 90 degrees + angle Y = 180 degrees
Now, let's solve for angle Y:
176 degrees + angle Y = 180 degrees
Subtracting 176 degrees from both sides, we get:
angle Y = 180 degrees - 176 degrees
angle Y = 4 degrees
Therefore, the measure of angle YXZ is 4 degrees.