Question

In the figure below, AD and EC intersect at point G, mAGB = 33°, and mAGE = 75°.



https://app32.studyisland.com/pics/154646pic11.png
What is mBGC?
a 147°
b 72°
c 105°
d 108°

Answer 1

@israa88

Answer 2

@butterflydreamer

Answer 3

can you see how mAGB, mAGE and mBGC lie on the straight line EC?
This means that because the angle sum of a straight line = 180

mAGB + mAGE + mBGC = 180 degrees

Since mAGB = 33, mAGE = 75, sub it into the formula above and we end up with:
33 + 75 + mBGC = 180

therefore,
mBGC = 180 - 33 - 75 = ?