Question

In the triangle below, if < C = 6x + 11, and < A = 3x + 20, find x.

Answer 1

`D\text{: 3}`

Step-by-step explanation:

Here, we want to get the value of x

From the diagram shown, what we have is an isosceles triangle

In an isosceles triangle, the base angles are equal

Thus:

Mathematically:

`m\angle C\text{ = m}\angle A`

We proceed to equate the values:

`\begin{gathered} 6x+11\text{ = 3x+ 20} \\ 6x-3x\text{ = 20-11} \\ 3x\text{ = 9} \\ x\text{ = }(9)/(3) \\ x\text{ = 3} \end{gathered}`