Question

n the triangle below, if < C = 2x - 5 degrees, and < A = x + 10 degrees, find the measure of < A.

Answer 1

Given:

`AB=BC`

`\begin{gathered} \angle C=2x-5 \\ \angle A=x+10 \end{gathered}`

Required:

To find the angle A.

Step-by-step explanation:

We know tha "If two sides of a triangle are equal , then it has equal angles".

Therefore

`\angle C=\angle A`
`\begin{gathered} 2x-5=x+10 \\ 2x-x=10+5 \\ x=15 \end{gathered}`

Now angle A ia,

`\begin{gathered} \angle A=x+10 \\ =15+10 \\ =25\degree \end{gathered}`

Final Answer:

The option D is correct.

`\angle A=25\degree`