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find the missing angle (triangle with angles 36°, 99°, and x; options: …

Question

find the missing angle (triangle with angles 36°, 99°, and x; options: 36, 99, 135, 45)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the missing angle

Let the missing angle be \(x\). Then \(x + 36^\circ + 99^\circ = 180^\circ\). So \(x = 180^\circ - 36^\circ - 99^\circ\).
\(x = 180 - 36 - 99 = 45^\circ\).

Answer:

45