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what is the value of r? 29.2° 92.3°

Question

what is the value of r? 29.2° 92.3°

Explanation:

Step1: Use the angle - sum property

The sum of the three angles is \(180^{\circ}\) (a straight line). Let the three angles be \(29.2^{\circ}\), \(92.3^{\circ}\), and \(r\). So, \(29.2 + 92.3+r=180\).

Step2: Simplify the left - hand side

First, calculate \(29.2 + 92.3=\ 121.5\). Then the equation becomes \(121.5+r = 180\).

Step3: Solve for \(r\)

Subtract \(121.5\) from both sides of the equation: \(r=180 - 121.5\).

Answer:

\(58.5\)