Question

10. In isosceles triangle ABC segments AB and AC are congruent. If M

Answer 1

We are given an isosceles triangle with the following conditions:

Since this is an isosceles triangle, this means that its base angles are the same, that is:

`\angle C=\angle B`

Moreover, the sum of the interior angles of any triangle must add up to 180 degrees, that is:

`\angle C+\angle B+\angle A=180`

Replacing the known values we get:

`4x+6+4x+6+72=180`

Adding like terms:

`8x+84=180`

Solving for "x" first by subtracting 84 on both sides:

`\begin{gathered} 8x+84-84=180-84 \\ 8x=96 \end{gathered}`

Dividing both sides by 8

`x=(96)/(8)=12`

Therefore x = 12