Question

the measures of the angles of a triangle are shown in the figure below, solve for x.

Explanation:

Step1: Recall triangle angle sum rule

The sum of angles in a triangle is $180^\circ$.

Step2: Set up the equation

$x + 54 + 48 = 180$

Step3: Calculate sum of known angles

$54 + 48 = 102$

Step4: Solve for $x$

$x = 180 - 102$

Answer:

$x = 78$