YW bisects angle XYZ. The measure of angle XYZ = 80 degrees. Find the measure of angle XYW
A bisector divides the angle into two equal parts.
To find the measure of angle XYW, we can use the property that a bisector divides an angle into two congruent angles.
Given that angle XYZ equals 80 degrees and YW is the bisector of angle XYZ, we can conclude that angle XYW is congruent to angle WYZ.
So, the measure of angle XYW is also 80 degrees.
To find the measure of angle XYW, we first need to understand what it means for a line to bisect an angle. When a line bisects an angle, it means that it divides the angle into two equal parts or halves.
In this case, line YW bisects angle XYZ. The measure of angle XYZ is given as 80 degrees. Since YW bisects this angle, it means angle XYW will be equal to angle WYZ.
To find the measure of angle XYW, we need to find the measure of angle WYZ. Since angle XYZ measures 80 degrees, the measure of angle WYZ will also be 80 degrees because the line YW bisects angle XYZ.
Therefore, the measure of angle XYW is also 80 degrees.