Question

find the x,y,and z from the following figure.

Answer 1

Answer:

x= 23.34°

y= 40°

z= 116.7°

Step-by-step explanation:

y + x = x + 40 ( Vertically opposite angles are equal to each other)

∴ y = 40°

z = 5x (  Vertically opposite angles are equal to each other)

z + 5x + ( y + x ) + ( x+ 40 ) = 360°  ( Sum of all angles = 360° )

→ 5x + 5x + 40 + x + x + 40 = 360°

→ 12x = 360 - 80

→ 12x = 280

→ x = 280 ÷ 12

→ x = 23 4/12 = 23.34

z= 5x = 5(23.34) = 116.7°