Question

i) In figure a, the arms of two angles are parallel.
If ∠ABC = 70°, then find
(a) ∠DGC
(b) ∠DEF

ii) In figure b, decide by giving a reason whether line l is parallel to line m or not.

Answer 1

Step-by-step explanation:

Given that:

Sides of the two angles are parallel so AB∥DGE and line BGC∥EF

i)If AB∥DGE and BC is transversal line, then

∠DGC=∠ABC=70

∘

(Corresponding angle)

ii)If line BGC∥EF and DE is transversal line, then

∠DEF=∠DGC=70

∘

(Corresponding angle)

Answer 2

Step-by-step explanation:

Given that:

Sides of the two angles are parallel so AB∥DGE and line BGC∥EF

i)If AB∥DGE and BC is transversal line, then

∠DGC=∠ABC=70

∘

(Corresponding angle)

ii)If line BGC∥EF and DE is transversal line, then

∠DEF=∠DGC=70

∘

(Corresponding angle)

2one (i) 125

o

+44

o

=169

o

l is not parallel to m because sum of interior opposite angles should be 180

o

. hope it will help