Question

question △dsj≅△rcw. if m∠d = 114° and m∠j = 42°, find m∠c. answer attempt 1 out of 2 m∠c be determined. can cannot

Explanation:

Step1: Recall property of congruent triangles

Corresponding angles of congruent triangles are equal. In $\triangle DSJ\cong\triangle RCW$, $\angle D$ corresponds to $\angle R$, $\angle S$ corresponds to $\angle C$, $\angle J$ corresponds to $\angle W$.

Step2: Use angle - sum property of a triangle

First, find $\angle S$ in $\triangle DSJ$. The sum of interior angles of a triangle is $180^{\circ}$. So, $m\angle S=180^{\circ}-m\angle D - m\angle J$. Substitute $m\angle D = 114^{\circ}$ and $m\angle J = 42^{\circ}$ into the formula: $m\angle S=180^{\circ}-114^{\circ}-42^{\circ}=24^{\circ}$.

Step3: Find $m\angle C$

Since $\angle S$ and $\angle C$ are corresponding angles of congruent triangles $\triangle DSJ$ and $\triangle RCW$, $m\angle C=m\angle S = 24^{\circ}$. So $m\angle C$ can be determined.

Answer:

can