Question

question
△dsj≅△rcw. if m∠d = 114° and m∠j = 42°, find m∠c.
answer attempt 1 out of 2
m∠c can be determined. m∠c =

Explanation:

Step1: Recall angle - sum property of a triangle

In a triangle, the sum of interior angles is 180°. In \(\triangle DSJ\), we know \(m\angle D = 114^{\circ}\) and \(m\angle J=42^{\circ}\). Let \(m\angle S=x\). Then \(m\angle D + m\angle J+m\angle S = 180^{\circ}\), so \(x=180-(114 + 42)=180 - 156=24^{\circ}\).

Step2: Use congruent - triangle property

Since \(\triangle DSJ\cong\triangle RCW\), corresponding angles are equal. \(\angle S\) and \(\angle C\) are corresponding angles. So \(m\angle C=m\angle S\).

Answer:

\(24\)