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find ( mangle1 ). then classify the triangle by its angles. ( mangle1=s…

Question

find ( mangle1 ). then classify the triangle by its angles. ( mangle1=square^{circ} ). the triangle can be classified by its angles as

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the right - angle be \(90^{\circ}\), one angle \(A = 38^{\circ}\), and the other angle be \(\angle1\). Then \(m\angle1+90^{\circ}+38^{\circ}=180^{\circ}\).

Step2: Solve for \(m\angle1\)

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Step3: Classify the triangle by its angles

Since one of the angles is \(90^{\circ}\), the triangle is a right - triangle.

Answer:

\(m\angle1 = 52^{\circ}\). The triangle can be classified by its angles as a right - triangle.