Question

question 3 of 10
what is the measure of $widehat{sty}$ in $odot o$ below?
a. $230^{circ}$
b. $130^{circ}$
c. $50^{circ}$
d. $310^{circ}$

Explanation:

Step1: Recall circle - arc relationship

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify given arc measure

The measure of arc $\overset{\frown}{SY}$ is 50°.

Step3: Calculate measure of $\overset{\frown}{STY}$

$m\overset{\frown}{STY}=360^{\circ}-m\overset{\frown}{SY}$.
Substitute $m\overset{\frown}{SY} = 50^{\circ}$ into the formula: $m\overset{\frown}{STY}=360 - 50=230^{\circ}$.

Answer:

A. 230°