Question

In the figure, ABC = 1000

. then find the measure of ADC.

a) 500

b) 800

c) 1000

d) 400​

Answer 1

Answer:

Step-by-step explanation:

Given: AB=AC, ∠ACD=130

∠ACD+∠ACB=180 (Linear pair)

130+∠ACB=180

∠ACB=50  ∘

 Now, In △ABC,

∠ABC=∠ACB=50 (Isosceles triangle property)

Sum of angles = 180

∠ABC+∠ACB+∠BAC=180

50+50+∠BAC=180

∠BAC=80  ∘