In the triangle in the given diagram, the value of x is 13
In the diagram, the value of ∠C = (8x -44)°.
To determine the value of x, we will first determine the measure of ∠C.
From the question,
Triangle ABC is equilateral
Recall that, each interior angle of an equilateral triangle equals 60°.
∴ m ∠C = 60°
Since the measure of ∠C = 60°
Then, we can write that
(8x - 44)° = 60°
Now, we will solve the above equation for x
8x° - 44° = 60°
First, add 44° to both sides
8x° - 44° + 44° = 60° + 44°
8x° = 104°
∴ x = 104° ÷ 8°
x = 13
Hence, in the given triangle, the value of x is 13