If m∡R=24°, what is m∡O
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Since triangle RST is an isosceles triangle, we know that m∡R = m∡T. Therefore, m∡T = 24°.
Since ∠TSO and ∠RSO are supplementary angles, we can find m∠TSO by subtracting m∠RSO from 180°:
m∠TSO = 180° - m∠RSO
m∠TSO = 180° - 2(m∠R)
m∠TSO = 180° - 2(24°)
m∠TSO = 132°
Since ∠TSO is an exterior angle of triangle OPR, we can find m∠O by subtracting m∠TSO from the sum of m∠P and m∠R:
m∠O = m∠P + m∠R - m∠TSO
m∠O = 84° + 24° - 132°
m∠O = -24°
Therefore, we cannot find m∠O with the given information.