Question

6. In ΔABC, AB ≅ AC, If ∠A = 100° find the measure of ∠C *

a) 70°

b) 40°

c) 55°

d) None of these
​

Answer 1

Since, AB = AC, therefore, ∠B=∠C

By angle sum property of triangle,

∠A+∠B+∠C=180o

70o+2∠B=180o

2∠B=110o

∠B=55o

Hence, ∠B=∠C=55o