Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer
attempt 1 out of 3
$x =$
submit answer

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(74^{\circ}+49^{\circ}+(3x)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(74\) and \(49\): \(74 + 49=123\). The equation becomes \(123+3x = 180\).

Step3: Solve for \(x\)

Subtract \(123\) from both sides: \(3x=180 - 123\). Then \(3x = 57\). Divide both sides by \(3\): \(x=\frac{57}{3}\).

Answer:

\(x = 19\)