Question

in the given figure,x:y=4:5 and angel ACD =17 degree, find the value of X Y and Z​

Answer 1

Answer:

∠x=52°  ∠y=65° ∠z=63°

Step-by-step explanation:

Given:- x:y=4:5, ∠ACD=117

find:- x, y, z

solution:- ∠x+∠y= ACD (exterior angle property)

=4x+5x=117

=9x=117

=x=117/9= 13

∠x=4x= 4(13)= 52°

∠y=5x= 5(13)= 65°

∠x+∠y+∠z=180° (angle sum property)

52+65+∠z=180°

∠z=180-117

∠z=63°