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8. 

FGDE is a parallelogram. So angle EDG = 118 degrees. 

EDC is a straight line, so angle ADC = 180 – 118 = 62 degrees. 

ADC is an isosceles triangle with AD = AC, so angle ACD = angle ADC = 62 degrees.

Sum of angles in triangle ADC is 180 degrees. So angle BAG = angle CAD = 180 – 62 – 62 = 56 degrees.

 

9. 

All three angles in BCD are 60 degrees since it is an equilateral triangle. 

EDC is a straight line, so angle BDE = 180 – 60 = 120 degrees. 

ABDE is a parallelogram, so angle ABD + angle BDE = 180 degrees. Angle ABD = 180 – 120 = 60 degrees. 

Angle ABC = angle ABD + angle CBD = 60 + 60 = 120 degrees.

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