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lisov135 [29]
3 years ago
8

Given EFGH and E=45°, what is the measure of angle F?

Mathematics
2 answers:
Ivahew [28]3 years ago
4 0
Opposite angles are congruent and adjacent angles are supplementary.

so < E + < F = 180...and < E = 45
45 + < F = 180
< F = 180 - 45
< F = 135 <==
Goryan [66]3 years ago
3 0
Remember that opposite angles are congruent. 

So,

we know that <E= <G

That is 45+45= 90 degrees 

We also know that consecutive angles are supplementary. E and F would equal 180 degrees. 

180-45=135

<F= 135 degrees. 

We can check this by seeing if all the angles add up to 360 degrees/

135+135+45+45

=360 <== this works

I hope this helps!
~kaikers
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