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

I am learning geometry and I’m having trouble figuring this out, if someone who know geometry or took geometry can help me out, it would be appreciated greatly!


Find angles 1 and 2

3 Can someone please help me with these questions I am learning geometry and Im having trouble figuring this out if someone who know geometry or took geometry c class=

Respuesta :

calculista

Answer:

Option A 90,68

[tex]m\angle 1=90^o[/tex]

[tex]m\angle 2=68^o[/tex]

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

[tex]m\angle 1=90^o[/tex] ----> by the diagonals are perpendicular

Find the measure of angle 2

we know that

triangle AEB is congruent with triangle CEB

so

[tex]m\angle EAB=m\angle ECB=m\angle 2[/tex]

In the right triangle EAB

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

so

[tex]m\angle EAB=90^o-22^o=68^o[/tex]

therefore

[tex]m\angle 2=68^o[/tex]

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