Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
$(5x-17)^{circ}$
$49^{circ}$
$68^{circ}$
answer

Explanation:

Step1: Sum of triangle angles

The sum of interior angles of a triangle is $180^\circ$. So we set up the equation:
$$(5x-17) + 68 + 49 = 180$$

Step2: Simplify left side

Combine the constant terms:
$$5x + (-17 + 68 + 49) = 180$$
$$5x + 100 = 180$$

Step3: Isolate the term with x

Subtract 100 from both sides:
$$5x = 180 - 100$$
$$5x = 80$$

Step4: Solve for x

Divide both sides by 5:
$$x = \frac{80}{5}$$

Answer:

$x = 16$