Question

angles in a triangle
find the measure of each angle in
1)
3)

Explanation:

Step1: Use the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the unknown angle in the first triangle

Let the unknown angle be \(x\). Then \(x + 65^{\circ}+57^{\circ}=180^{\circ}\).

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Step3: Calculate the unknown angle in the second triangle

Let the unknown angle be \(y\). Given one angle is \(20^{\circ}\) and another is \(130^{\circ}\). Then \(y+20^{\circ}+130^{\circ}=180^{\circ}\).

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Answer:

1. The measure of the unknown angle is \(58^{\circ}\).
2. The measure of the unknown angle is \(30^{\circ}\).