in the figure below, m∠1 = 89° and m∠2 = 67°. find m∠xwy.
in the figure below, m∠1 = 89° and m∠2 = 67°. find m∠xwy.
Answer
Explanation:
Step1: Recall angle - sum property
The sum of angles around a point is 360°. Also, we know that (\angle1+\angle2 + \angle XWY=180^{\circ}) (since they form a linear - pair or a straight - line at point (W)).
Step2: Substitute the given values
We are given that (m\angle1 = 89^{\circ}) and (m\angle2=67^{\circ}). Let (m\angle XWY=x). Then (x + 89^{\circ}+67^{\circ}=180^{\circ}).
Step3: Solve for (x)
[ \begin{align*} x&=180^{\circ}-(89^{\circ}+ 67^{\circ})\ x&=180^{\circ}-156^{\circ}\ x& = 24^{\circ} \end{align*} ]
Answer:
(24)