Video: Finding the Measure of an Angle Given Its Supplementary Angle’s Measure

Find π‘šβˆ π·π΅πΆ.

01:20

Video Transcript

Find the measurement of angle 𝐷𝐡𝐢.

Here we have point 𝐷, 𝐡, and 𝐢. This is angle 𝐷𝐡𝐢. There are two angles in the given figure on a straight line. Angles on a straight line total 180 degrees. This means that angle 𝐷𝐡𝐢 plus 35 degrees equals 180 degrees. So we can use the inverse to help find the answer. We need to subtract 35 from 180 degrees to give us the measure of angle 𝐷𝐡𝐢. 180 degrees take away 30 degrees gives us 150 degrees. We’ve subtracted the 30 from 35. Now we just need to subtract the five. 150 subtract five is 145.

Angle 𝐷𝐡𝐢 measures 145 degrees.

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