Question

question 1 (multiple choice worth 1 points) (05 02 mc) if sin∠x = cos∠y and m∠x = 72°, what is the measure of ∠y? 18° 72° 90° 108°

Explanation:

Step1: Recall co - function identity

We know the co - function identity $\sin\alpha=\cos(90^{\circ}-\alpha)$. Given $\sin\angle X = \cos\angle Y$, then $\angle Y=90^{\circ}-\angle X$.

Step2: Substitute the value of $\angle X$

Since $\angle X = 72^{\circ}$, then $\angle Y=90^{\circ}-72^{\circ}$.
$90 - 72=18^{\circ}$

Answer:

$18^{\circ}$