Question

the diagram shows a triangle.
what is the value of x?
x = \boxed{\circ}
save answer

Explanation:

Step1: Sum triangle angles to 180°

$34 + 2x + (x - 25) = 180$

Step2: Simplify left-hand side

$34 - 25 + 2x + x = 180$
$9 + 3x = 180$

Step3: Isolate the term with x

$3x = 180 - 9$
$3x = 171$

Step4: Solve for x

$x = \frac{171}{3}$

Answer:

$x = 57^\circ$