Answer:
a) <EGA and <AGB
b) <FGE and <CGB
c) <FGE and <EGC
d) <FGE and <FGA
e) <CGD=55
Explanation:
a) Supplementary angles add up to 180 degrees.
<EGA and <AGB are supplementary.
b) Vertical angles are also called X-angles. Think of them as angles in the vertically opposite corners of the letter X.
<FGE and <CGB are a pair of vertical angles
c) Adjacent angles are next to each other.
<FGE and <EGC are a pair of adjacent angles
d) Complementary angles add up to 90 degrees.
<FGE and <FGA are a pair of complementary angles
e) <CGD=<FGA because they are vertical angles.
But <EGA=90-35=55
Therefore <CGD=55