Answer:
x = 76 , y = 63 , z = 104
Explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles in the triangle on the left and sum to 180
x + 46 + 58 = 180
x + 104 = 180 ( subtract 104 from both sides )
x = 76
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle on the right , then
y + 13 = x , that is
y + 13 = 76 ( subtract 13 from both sides )
y = 63
z is an exterior angle of the triangle on the left , then
z = 46 + 58 = 104