Question

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

Explanation:

Step1: Recall triangle angle sum

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

Step2: Identify known angles

Known angles: $49^\circ$, $90^\circ$ (right angle).

Step3: Set up equation for $x$

$x + 49^\circ + 90^\circ = 180^\circ$

Step4: Solve for $x$

$x = 180^\circ - 49^\circ - 90^\circ = 41^\circ$

Answer:

$x = 41$