Question

I need help with properties of rhombus, rectangles and squares ​

Answer 1

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°