find the value of Y, X and Z and please give the full explanation

the bases of triangles are paralleles, so the angles are the same, the sum og the interior angles are always 180° in a triangle, so 180 - 55 -60 = 65°

x = 65°
y = 60°
z = 55°

Answer Link

Аноним Аноним · Answer 2 · 2018-03-22T12:25:32+01:00

-------------------------------------------------
Find value of y
-------------------------------------------------
∠y = 60° (corresponding angle)

-------------------------------------------------
Find value of z
-------------------------------------------------
∠z = 55° (corresponding angle)

-------------------------------------------------
Find value of x
-------------------------------------------------
∠x = 180 - 60 - 55 = 65° (sum of angles in a triangle is 180°)

-------------------------------------------------
Answer: x = 65° ; y = 60° ; z = 55°
-------------------------------------------------