find the measure of the arc.\n146°\nmabc = ?°
find the measure of the arc.\n146°\nmabc = ?°
Answer
Explanation:
Step1: Recall circle - arc property
The measure of a full - circle is 360°.
Step2: Identify known angles
We know one of the central angles is 146° and another is 90°.
Step3: Calculate the measure of arc (ABC)
(m\widehat{ABC}=360^{\circ}-(146^{\circ} + 90^{\circ})) [ \begin{align*} m\widehat{ABC}&=360^{\circ}-236^{\circ}\ m\widehat{ABC}& = 124^{\circ} \end{align*} ]
Answer:
124