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3 years ago

8

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

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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