Question

AB parellel to DC
EF parallel to BC
angle BAC=60 degree
angle DHF=50 degree
find angle ABC and angle AGH​

please answer

Answer 1

Answer:

ABC=50 AGH=110

Step-by-step explanation:

DHF=CHE (vertically opposite angles)

CHE=50°

since BE parallel to CH

and EH parallel to BC

BCEH is a parallelogram

hence

EBC or ABC=CHE=50°

since

AB parallel to CD

therefore

BAC=DCG or HCG

HCG=60°

since HCG is a triangle

HCG+CHG+CGH=180° (ANGLE SUM PROPERTY)

60°+50°+CGH=180°

CGH=70°

AGH+CGH=180° (LINEAR PAIR)

AGH=180-70

AGH=110°