Question

the diagram shows a triangle.

triangle with angles labeled: one angle is ( x - 13^circ ), another is ( 2x ), and the third is ( 52^circ )

what is the value of ( x )?

( x = square^circ )

Explanation:

Step1: Sum angles to 180°

$(x-13) + 2x + 52 = 180$

Step2: Simplify left side

$3x + 39 = 180$

Step3: Isolate 3x term

$3x = 180 - 39$
$3x = 141$

Step4: Solve for x

$x = \frac{141}{3}$

Answer:

$x = 47^\circ$