Answer:
∠WXZ = 52.5
Step-by-step explanation:
Angle Bisector is the line that divides that angle into two equal parts.
Hence, Ray XZ divide the ∠WXY into two equal parts.
⇒ [tex]\angle WXZ = \frac{1}{2} \angle WXY [/tex]
∴ [tex]\angle WXZ =\frac{1}{2}\times105^{\circ}=52.5[/tex]
⇒ ∠WXZ = 52.5
An angle bisector divides an angle into two equal parts.
The measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]
Given that:
[tex]XZ \to[/tex] Bisector of [tex]\angle WXY[/tex]
[tex]\angle WXY = 105^o[/tex]
This means that:
[tex]\angle WXY = 2 \times \angle WXZ[/tex]
So, we have:
[tex]105^o = 2 \times \angle WXZ[/tex]
Divide both sides by 2
[tex]52.5^o = \angle WXZ[/tex]
Rewrite as:
[tex]\angle WXZ = 52.5^o[/tex]
Hence, the measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]
Read more about angle bisectors at:
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