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pantera1 [17]
3 years ago
8

#3 Can someone please help me with these questions!!!!

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

Option A 90,68

m\angle 1=90^o

m\angle 2=68^o

Step-by-step explanation:

see the attached figure to better understand the problem

The figure shows a kite

we know that

A kite properties include

1) two pairs of consecutive, congruent sides

2) congruent non-vertex angles

3) perpendicular diagonals

Find the measure of angle 1

we have that

m\angle 1=90^o ----> by the diagonals are perpendicular

Find the measure of angle 2

we know that

triangle AEB is congruent with triangle CEB

so

m\angle EAB=m\angle ECB=m\angle 2

In the right triangle EAB

m\angle EAB+22^o=90^o ----> by complementary angles in a right triangle

so

m\angle EAB=90^o-22^o=68^o

therefore

m\angle 2=68^o

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