Question

calculate the missing measurement.
m∠c = ?°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(m\angle A+m\angle B + m\angle C=180^{\circ}\).

Step2: Substitute the known angles

We know that \(m\angle A = 90^{\circ}\) (right - angle) and \(m\angle B=55^{\circ}\). Substituting into the formula: \(90^{\circ}+55^{\circ}+m\angle C = 180^{\circ}\).

Step3: Solve for \(m\angle C\)

First, add \(90^{\circ}\) and \(55^{\circ}\): \(90 + 55=145\). Then, \(m\angle C=180^{\circ}-145^{\circ}\).

Answer:

\(35\)