Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 65° (5x + 14)° 36°

Explanation:

Step1: Sum triangle angles to 180°

$65 + 36 + (5x + 14) = 180$

Step2: Simplify left side sum

$65 + 36 + 14 + 5x = 180$
$115 + 5x = 180$

Step3: Isolate the term with x

$5x = 180 - 115$
$5x = 65$

Step4: Solve for x

$x = \frac{65}{5}$

Answer:

$x = 13$