what is the measure of circumscribed ∠x? 45° 50° 90° 95°
what is the measure of circumscribed ∠x? 45° 50° 90° 95°
Answer
Explanation:
Step1: Recall the property of a circumscribed angle
The measure of a circumscribed angle is supplementary to the central - angle that subtends the same arc. Here, the central - angle $\angle YVW = 90^{\circ}$ (as indicated by the right - angle symbol at $V$).
Step2: Calculate the measure of $\angle X$
Let the measure of $\angle X$ be $x$. We know that $x+\angle YVW = 180^{\circ}$ (circumscribed - angle and central - angle relationship). Since $\angle YVW = 90^{\circ}$, then $x=180^{\circ}-90^{\circ}$. $x = 90^{\circ}$
Answer:
$90^{\circ}$