Question

cdef ~ hijg. what are ( mangle c ) and ( mangle g )?
( mangle c=square^{circ} )
( mangle g=square^{circ} )

Explanation:

Step1: Use the property of similar polygons

Similar polygons have corresponding angles equal.

Step2: Find \(m\angle C\)

In polygon \(CDEF\) and \(HIJG\), \(\angle C\) corresponds to \(\angle H\). So \(m\angle C = 117^{\circ}\)

Step3: Find \(m\angle G\)

In polygon \(CDEF\) and \(HIJG\), \(\angle G\) corresponds to \(\angle F\). So \(m\angle G = 98^{\circ}\)

Answer:

\(m\angle C = 117^{\circ}\)
\(m\angle G = 98^{\circ}\)