Question

question
△noh ≅ △upc. if m∠o = 63° and m∠n = 22°, find m∠c.

answer attempt 2 out of 2

m∠c can be determined. m∠c = °.

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). In \(\triangle NOH\), we know \(\angle N = 22^{\circ}\) and \(\angle O=63^{\circ}\). Let \(\angle H=x\). Then \(x + 63^{\circ}+22^{\circ}=180^{\circ}\).

Step2: Solve for \(\angle H\)

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Step3: Use the property of congruent triangles

Since \(\triangle NOH\cong\triangle UPC\), corresponding angles are equal. \(\angle C\) corresponds to \(\angle H\).

Answer:

\(95\)