Question

5. The arms of two angles are parallel.
If GEF = 58°, then find

(a) ABC
(b) DGC
(C) EGC
​

Answer 1

Answer:

(A) 58°

(B) 58°

(C) 122°

Step-by-step explanation:

(A) /_ABC=/_GEF

58°=58°

(B)/_ABC=/_DGC=/_GEF=58°

(C) /_DGC+/_EGC=180°

58°+/_EGC=180°

/_EGC=180°-58°

/_EGC=122°

Answer 2

Answer:

a) ABC = 58°

b) DGC = 58°

c) EGC = 122°

Step-by-step explanation:

line EF || line GC

and ED is the bisector

hence

angGEF = angDGC = 58°

similarly,

line AB || line GD and BC is the bisector then,

angABC = angDGC = 58°

a) ABC = 58°

b) DGC = 58°

Now , E - G - D are in linear ,

angEGC + angDGC = 180°

.

angEGC + 58° = 180°

angEGC = 180 - 58 = 122°

c) angEGC = 122°