Question

In the triangle below, if < C = 3x - 1, and < A = 2x + 10, find the measure of < A.

Answer 1

Given: Given a triangle ABC with AB = AC. ∠C = 3x - 1 and ∠A = 2x + 10.

Required: Measure of angle A.

Step-by-step explanation:

Since AB = AC, therefore

∠A = ∠C

Since angle opposite to equal sides of a triangle are equal.

Therefore,

`\begin{gathered} 2x+10=3x-1 \\ 3x-2x=10+1 \end{gathered}`

So

`x=11`

Therefore,

`\begin{gathered} \angle A=2(11)+10=22+10 \\ \angle A=32\degree \end{gathered}`

Final Answer: Option C is correct.