Respuesta :
The measure of ∠WYX in the given isosceles triangle is; 150°
Angles in a triangle
We are told that Triangle WXY is isosceles..
We are given the base equal angles as;
- ∠YWX
- ∠YXW
YZ bisects ∠WYX and m∠XYZ = (15x)°. Thus;
∠WYX = 2(15x)° = (30x)°
Now, we are told that m∠YXZ = (2x + 5)°
Thus, since sum of angles in a triangle is 180°, then;
30x + (2x + 5)° + (2x + 5)° = 180
34x + 10 = 180
34x = 170
x = 170/34
x = 5
Thus;
∠WYX = (30x)° = (30 × 5) = 150°
Read more on angles in a triangle at; https://brainly.com/question/11966001
Answer:
150°
Step-by-step explanation:
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX?
5°
15°
75°
150°
