Question

In the adjacent figure AB || CD, EF⊥CD and∠GED=130°, find∠AGE,∠GEF and∠FGE.​

Answer 1

$\large\bf{\underline\green{☕︎Good \: Morning☕︎}}$

∠AGE=∠GED=130° (Alternate angles)

∠GED=∠GEF+∠FED

130°=∠GEF+90°

∠GEF=130-90=40

∠CEG+∠GED=180° (Supplementary angles)

∠CEG+130° = 180°

∠CEG=180° − 130° = 50°

∠FGE=∠CEG=54°(Alternate angles )