Question

= 60°
ZA =
3
Hence, the measure of each angle is 60°.
In AABC, AB = AC and ZA = 40°. Find x and y.
Since AABC is isosceles with​

Answer 1

Step-by-step explanation:

Given: ∠A=36

∘

and AB=AC

Since, AB=AC

∠B=∠C=x (Isosceles triangle property)

In △ABC

∠A+∠B+∠C=180

36+x+x=180

x=72

∘

∠B=∠C=72

∘

Since, CD bisects ∠C

∠BCD=∠ACD=

2

1

∠C=36

∘

Now, In △BDC,

∠B+∠BCD+∠BDC=180 (Angle sum property)

72+36+∠BDC=180

∠BDC=72

∘

Thus, ∠BDC=∠B=72

∘

Hence, BC=AD (Isosceles triangle property)