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In the following image, find x in degrees.

 

 Dec 1, 2019
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Because they form a straight line,

m∠GFC + m∠GFB   =   180°

m∠GFC   =   180° – m∠GFB

m∠GFC   =   180° – 140°

m∠GFC   =   40°

 

Because the sum of interior angles in  △CGF  is 180°,

m∠GFC + m∠GCF + m∠CGF   =   180°

40°  +  59° + 3y°   =   180°

3y°   =   81°

y   =   27

 

Because the sum of interior angles in  △CGE  is 180°,

m∠GEC + m∠GCE + m∠CGE   =   180°

x°  +  59°  +  2y°   =   180°

x°  +  59°  +  2(27)°   =   180°

x°  +  59°  +  54°   =   180°

x°   =   180°  –  59°  –  54°

x°   =   67°

 Dec 2, 2019

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