Question

In the given figure, the arms of two angles are parallel. If /_ (angle) ABC =70°, then find: (i)Angle DGC (ii) Angle DEF

Answer 1

If /_ ABC = 70°
/_ DGC = 70° [Corresponding angles]
/_ DEF = 70° [Corresponding angles]

I hope I solved your problem so please mark as brainly.

Answer 2

Answer:

∠$DGC$$= 70$°

∠$DE$$F$$=70$°

Step-by-step explanation:

Given,

The sides of two angles are parallel.

∴ AB║DE

  BC║EF

(i) BC is a transversal line which is a line that is passing through two lines in the same plane at two distinct points and AB║DE,

∴ ∠DGC and ∠ABC are corresponding angles.

Corresponding angles are always equal.

∠ DGC=∠ABC= $70$°

(ii) DE is a transversal line and BC║EF,

∴ ∠DGC and ∠DEF are corresponding angles.

Corresponding angles are always equal.

∠ DGC=∠DEF= $70$°

ANSWER- ∠ DGC= $70$°

                  ∠DEF= $70$°