Question

find the value of x,y,z give reason for your answer​

Answer 1

Answer:

x=60°, y=120°, z=30°

Step-by-step explanation:

In a triangle, sum of angles is 180°.

So,

in ΔABC

∠CAB+∠ABC+∠ACB=180°

(60°+30°)+60°+z=180°

z=180°-150°

z=30°

in ΔAEC

∠AEC+∠ECA+∠EAC=180°

y+30°+z=180°       (z=30° from above)

y=120°

in ΔABE

∠ABE+∠BEA+∠BAE=180°

60°+60°+x=180°

x=60°