Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(28^{\circ}+109^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(28\) and \(109\): \(28 + 109=137\). The equation becomes \(137+x = 180\).

Step3: Solve for \(x\)

Subtract \(137\) from both sides of the equation: \(x=180 - 137\).

Answer:

\(x = 43\)