Answer:
- ∠ROK = 36°
- ∠CKO = 96°
- ∠C = 60°
Step-by-step explanation:
The same-side angles at each base are supplementary, so ...
∠ROC = 180° -120° = 60°
Because the trapezoid is isosceles, 60° also the measure of ∠C.
The angle sum theorem tells you ...
∠COK +∠ROK = ∠ROC
24° + ∠ROK = 60°
∠ROK = 36° . . . . . . subtract 24°
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The sum of angles in ΔCKO is 180°, so ...
∠C +∠COK +∠CKO = 180°
60° +24° +∠CKO = 180°
∠CKO = 96° . . . . . . . . . . . . . subtract 84°
