Segment XY bisects angle WXZ. If m<ZXY = 2x – 6, write an expression for m<WXZ and what is the measure of <WXZ?
"bisects" means divides into two equal parts.
So, WXZ is twice YXZ.
To find the measure of angle WXZ, we first need to understand what it means for segment XY to bisect angle WXZ.
Bisecting an angle means that the angle is split into two congruent (equal) angles. So, if we let m<ZXY be the measure of one of the angles, then the measure of the other angle, m<WXZ, will also be equal to m<ZXY.
Therefore, the expression for m<WXZ is also 2x - 6.
To find the measure of <WXZ, we need to know the value of x. If you provide the value of x, I can help you calculate the measure of <WXZ.
To find the measure of angle WXZ, we need to use the fact that segment XY bisects angle WXZ. When a segment bisects an angle, it splits the angle into two congruent angles. This means that the measure of angle ZXY is equal to the measure of angle WXY.
Let's write an expression for m<WXZ, which represents the measure of angle WXZ.
m<WXZ = m<ZXY
Given that m<ZXY = 2x – 6, we can substitute this value into the expression.
m<WXZ = 2x – 6
Since we are given the expression 2x – 6, we need to know the value of x in order to find the measure of angle WXZ.