Given EFGH and E=45°, what is the measure of angle F?
2 answers:
Opposite angles are congruent and adjacent angles are supplementary.
so < E + < F = 180...and < E = 45
45 + < F = 180
< F = 180 - 45
< F = 135 <==
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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