Question

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Answer 1

Answer:

a) <EGA and <AGB

b) <FGE and <CGB

c) <FGE and <EGC

d) <FGE and <FGA

e) <CGD=55

Step-by-step 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