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in the figure below, ( mangle1 = 55^{circ} ) and ( mangle2 = 97^{circ} …

Question

in the figure below, ( mangle1 = 55^{circ} ) and ( mangle2 = 97^{circ} ). find ( mangle pqs ).

Explanation:

Step1: Sumar los ángulos

Según la figura, \( m\angle PQS=m\angle1 + m\angle2 \)

Step2: Sustituir los valores

Sustituimos \( m\angle1 = 55^{\circ} \) y \( m\angle2 = 97^{\circ} \) en la ecuación: \( m\angle PQS=55^{\circ}+97^{\circ} \)

Step3: Calcular la suma

\( 55 + 97=152 \), entonces \( m\angle PQS = 152^{\circ} \)

Answer:

\( 152^{\circ} \)