Question

1. 6) m∠acx = __________

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In \(\triangle ABC\), \(\angle ACX\) is an exterior angle with non - adjacent interior angles \(\angle A\) and \(\angle B\).

Step2: Calculate \(\angle ACX\)

We know that \(\angle A = 21^{\circ}\) and \(\angle B=30^{\circ}\). So, \(m\angle ACX=\angle A+\angle B\).

$$m\angle ACX = 21^{\circ}+30^{\circ}$$

$$m\angle ACX = 51^{\circ}$$

Answer:

\(51^{\circ}\)