Question

using information given in the figure, calculate the value of x and y​

Answer 1

Answer:

x = 96°

y = 120°

Step-by-step explanation:

x = 34 + 62 -------- exterior angle of Δ ABC

x = 96°

y = 24° + 96° ---------- exterior angle of Δ DCE

y = 120°

Answer 2

Answer:

x=96, y=120

Step-by-step explanation:

METHOD 1:

in triangle ABC, the sum of all angles will be 180. so angle ACB will be 180- (34+62)

we will get that angle ACB is 84.

now, x and ACB form a linear pair.

so x= 180-84=96

we know that opposite angles sum is equal to the exterior angle.

so in triangle EDC, exterior y= 24+x=24+96=120

METHOD 2:

opposite angles sum are equal to the exterior angle. '

so in the figure, x is exterior from triangle ACB, so x= 34+62= 96

then for triangle EDC, y is exterior, so y= 24+x=24+96= 120

HOPE THIS HELPS :)