Question

the figure is not drawn to scale. 36. if m∠acb = 30 and m∠a = 80, find m∠b. 110 60 180 70

Explanation:

Step1: Recall angle - sum property of a triangle

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

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

We can rewrite the formula as \(m\angle B = 180^{\circ}-m\angle A - m\angle ACB\).

Step3: Substitute the given values

Given \(m\angle A = 80^{\circ}\) and \(m\angle ACB = 30^{\circ}\), then \(m\angle B=180 - 80-30\).
\[m\angle B=70^{\circ}\]

Answer:

70