In the adjoining figure, AB = AC and = 70^ , then is: - Vidyadip

Question

In the adjoining figure, AB = AC and $\angle\text{A} = 70^\circ,$ then $\angle\text{C}$ is:

✓

Answer

55º
Solution:
Since, It is given that AB = AC, then $\angle\text{B}=\angle\text{C}$ (Isosceles triangle property)
Given $\angle\text{A}=70^\circ$ Let angle B and C be xº.
Sum of all the three angles of triangle = 180º, therefore $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
70 + x + x = 180º
x = 55º
$\angle\text{C}=55^\circ$

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