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(PLEASE HELP) What is the measure of BGC?

(PLEASE HELP) What is the measure of BGC?-example-1
User Ianbarker
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Answer: 40 degrees!

Angle AGF and angle DGC are vertical angles. Thus, angle DGC is 50 degrees. Since BGD is equal to 90 degrees (which we know since it is supplementary to EGD which is 90 degrees and 180-90=90), we can conclude that BGC is equal to 40 degrees since 90-50=40.
User Tristanm
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Explanation:

G = 90° ( vertically opposite angles)

50 + 90 +x = 180 ( sum of angles on a straight line)

140 + x = 180

x= 40 °

Angles BCG = angle G + angle c

= 90 + 4

User Curunir
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