Question

in the given figure show that l // m​

Answer 1

Answer:

yes l//m only and angle C is 100°

Answer 2

Step-by-step explanation:

in ∆CED,

<C + <E + <D = 180° ( Angle Sum Property )

45° + 35° + <C = 180°

<C = 180° - 80° = 100°

Also, <BCF = <ECD ( Vertically Opposite Angle )

=> <BCF = 100°

<BCF + <GCF = 180° ( Straight line )

<GCF + 100° = 180°

=> <GCF = 80°

& <ABC = 80° ( Given )

<ABC & <GCF are equal and are corresponding angles.

Since Corresponding angles are equal, therefore, AB || MC or l || m .