Question

the arms of two angles are parallel gef =47.5°,then find abc,dgcand egc

Answer 1

/_GEF=/_DGC........ (CORRESPONDING ANGLES)

=>. /_DGC=47.5°. ...... AS/_GEF=47.5°

SIMILARLY

/_ABC= /_DGC...... (CORRESPONDING ANGLES)

=>/_ABC=47.5°

/_EGC+/_GEF=180° .... CO -INTERIOR ANGLES

/_EGC+47.5=180

/_EGC= 180°-47.5°

/_EGC=132.5°

Answer 2

Answer:

Given = /_ GEF = 47.5°

Step-by-step explanation:

/_ GEF = /_ DGC (Corresponding angle)

/_ DGC = 47.5°

/_ ABC = /_ DGC (Corresponding angle)

/_ ABC = 47.5°

/_ EGC + /_ GEF = 180° (CO-interior angle)

/_ EGC + 47.5° = 180°

/_ EGC = 180° - 47.5°

/_ EGC = 132.5°