Answer:
x=60° , y=30° , z= 75°
Step-by-step explanation:
note...an equilateral triangle has the same angles all equal to 60°. so based on this x is 60°
the angle next to y is on a straight line therefore
60 +y =90
y=90-60
y=30°
the triangle with the y and z angles is an isosceles triangle...so the base angles must be equal
z+z+30=180
2z+30=180
2z=180-30
2z=150
[tex] \frac{2z}{2} = \frac{150}{2} [/tex]
z=75°
