if YW bisects angle XYZ and angle XYW= 25 degrees, then what is XYZ?
YW is a bisector ... so XYW is half of XYZ
12.5
To find the measure of angle XYZ, we need to use the fact that YW bisects angle XYZ.
Since YW bisects angle XYZ, it means that angle XYW is equal to angle WYZ.
We are given that angle XYW is 25 degrees, so we can conclude that angle WYZ is also 25 degrees.
To find the measure of angle XYZ, we can add the measures of angle XYW, angle WYZ, and angle XYZ together, since they form a straight line.
25 degrees + 25 degrees + angle XYZ = 180 degrees
Simplifying the equation, we have:
50 degrees + angle XYZ = 180 degrees
Now, to find the value of angle XYZ, we can subtract 50 degrees from both sides of the equation:
angle XYZ = 180 degrees - 50 degrees
angle XYZ = 130 degrees
Therefore, angle XYZ measures 130 degrees.
To find the measure of angle XYZ, we can use the property of angle bisectors.
An angle bisector divides an angle into two congruent angles. In this case, YW bisects angle XYZ, which means that the measure of angle XYW is equal to the measure of angle WYZ.
Given that angle XYW has a measure of 25 degrees, we can conclude that angle WYZ also has a measure of 25 degrees.
Since angle XYZ is the sum of angles XYW and WYZ, we can calculate it by adding their measures:
Angle XYZ = Angle XYW + Angle WYZ
= 25 degrees + 25 degrees
= 50 degrees
Therefore, angle XYZ has a measure of 50 degrees.