Video: Finding the Measure of an Angle given Its Complementary Angle’s Measure

Given that π‘šβˆ π΄π‘‚π΅ = 75Β°, what is π‘šβˆ π΅π‘‚πΆ?

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Video Transcript

Given that the measure of angle 𝐴𝑂𝐡 equals 75 degrees, what is the measure of angle 𝐡𝑂𝐢?

Let’s start by filling in this angle information onto the diagram, that angle 𝐴𝑂𝐡 is 75 degrees. We need to find out the measure of angle 𝐡𝑂𝐢. We can work this out once we realize that this angle at 𝐴𝑂𝐢 is given as a right angle of 90 degrees. So our two angles 𝐴𝑂𝐡 and 𝐡𝑂𝐢 must add to give us 90 degrees. We could in fact say that these two angles are complementary. The size of angle 𝐡𝑂𝐢 could be calculated by working out 90 degrees subtract 75 degrees. And therefore, we can give our answer that the measure of angle 𝐡𝑂𝐢 is 15 degrees.

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