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4) in a triangle, one angle is 85°, another angle is 35°, find the meas…

Question

  1. in a triangle, one angle is 85°, another angle is 35°, find the measure of the unknown angle (?).

Explanation:

Step1: Recall triangle angle sum

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

Step2: Calculate the unknown angle

Let the unknown angle be \(x\). Then \(x + 85^\circ + 35^\circ = 180^\circ\). So \(x = 180^\circ - 85^\circ - 35^\circ\).
\(x = 180^\circ - 120^\circ = 60^\circ\).

Answer:

\(60^\circ\)