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