Questions: Find the measure of the three missing angles in the rhombus below.

Transcript text: Find the measure of the three missing angles in the rhombus below.

Solution

Solution Steps

Step 1: Find x

Adjacent angles in a rhombus are supplementary, so they add up to 180°. Therefore, \(x + 101 = 180\). Subtracting 101 from both sides gives \(x = 79\).

Step 2: Find y

Opposite angles in a rhombus are congruent. Therefore, \(y = 101\).

Step 3: Find z

Opposite angles in a rhombus are congruent. Therefore, \(z = x = 79\).

Final Answer

\(x = \boxed{79}\), \(y = \boxed{101}\), \(z = \boxed{79}\)

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