Question

How do I solve this?

Answer 1

x=60° , y=30° , z= 75°

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

`(2z)/(2) = (150)/(2)`

z=75°