find the angle which is equal to its supplement a) 60 b) 90 c) 180 d) none of these
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Answer:
You must prove that the sum of both angles is equal to 180 degrees. ("If two angles form a linear pair, then they are supplementary; that is, the sum of their measures is 180 degrees.")
Explanation:
A good way to start is to look at your geometric theorems and think about if you could use any to determine the measurement of your angles.
A few ways to consider include:
a) Determine the measurement of ∠ABC and the measurement of ∠ABD, and prove that the combined measurements=180 degrees.
b) Determine that the measurement of ∠CBD=180 degrees. If you choose this method, you can use the linear pairs postulate to prove that since the measure of ∠CBD=180degrees, the angles that are added to form this angle (∠ABC and ∠ABD) must be supplementary.
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