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If angle AEB measures 135 degrees, and linear pairs are supplementary (add up to 180 degrees), what is the measure of the other angle forming a linear pair with AEB?

a) 45 degrees
b) 90 degrees
c) 135 degrees
d) 180 degrees

Answer :

Final answer:

The measure of the other angle forming a linear pair with angle AEB, which is 135 degrees, is 45 degrees. This is because the two angles must add up to d) 180 degrees, as linear pairs are supplementary.

Explanation:

If angle AEB measures 135 degrees, and we know that linear pairs of angles are supplementary (which means their measures add up to 180 degrees), we can calculate the measure of the other angle forming a linear pair with angle AEB by subtracting the given angle's measure from 180 degrees.

Let's designate the unknown angle as angle CEB. For them to form a supplementary pair with angle AEB, the equation we will use is:

Angle AEB measure + Angle CEB measure = 180 degrees

Now we substitute the known measure of angle AEB into the equation:

135 degrees + Angle CEB measure = 180 degrees

Then we can solve for Angle CEB measure:

Angle CEB measure = 180 degrees - 135 degrees

Angle CEB measure = 45 degrees

Therefore, the measure of the other angle forming a linear pair with angle AEB is 45 degrees.

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Rewritten by : Jeany

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