A triangle is inscribed inside a circle with diameter JL and the inscribed angle at K. The m∠J = 36°
. Using what you know about inscribed angles, find mJK
.
Since angle J is an inscribed angle, it corresponds to the central angle with the same intercept, angle K. The central angle corresponds to twice the measure of the inscribed angle:
m∠K = 2 * m∠J
m∠K = 2 * 36°
m∠K = 72°
Therefore, m∠JK = m∠J + m∠K
m∠JK = 36° + 72°
m∠JK = 108°
Thus, m∠JK = 108°.