Answer
x = 16
m∠Y = 34°
Step-by-step explanation:
Triangle XYZ is an isosceles triangle so, the angles ∠X and ∠Y are equal in measurement.
We can write the following equation to find the value of x:
4x + 9 = 73
Subtract 9 from both sides.
4x = 64
Divide both sides with 4.
x = 16
The sum of interior angles in a triangle is equal to 180°.
m∠X + m∠Y + m∠Z = 180°
73 + 73 + m∠Y = 180°
146 + m∠Y = 180°
- Subtract 146 from both sides.
m∠Y = 34°
