Question

in $\triangle abc$, $angle a = 62$ and $angle c = 33$. what is $mangle b$?
$mangle b=square$

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Rearrange the formula to solve for \(m\angle B\)

\(m\angle B=180 - m\angle A - m\angle C\).

Step3: Substitute the given values

Given \(m\angle A = 62^{\circ}\) and \(m\angle C=33^{\circ}\), then \(m\angle B=180 - 62-33\).
\(m\angle B = 85^{\circ}\).

Answer:

85