The measures of two angles of a triangle are given. Find the m...

Question

The measures of two angles of a triangle are given. Find the measure of the third angle. See Example 2. 37° , 52°

Accepted Answer

Hello, today we're going to be determining the missing angle measure for a given triangle. So we are given two known angles for a triangle. We are told that the first angle is 32 degrees and the second angle is degrees. We want to use this information to find the third unknown angle which we can label as X. Now recall that a triangle has a total of three angles. And the angle su property for a triangle states that the sum of all three angles of a triangle will add up to give us the value of 180 degrees. So if we want to solve for the unknown angle of a triangle, we're going to take the known angles and set it equal to degrees. So we're going to take the first angle which is 32 degrees at the second angle which is 59 degrees and add our unknown angle which is X and set the summ equal to 180 degrees. Now, what we wanna do is we want to solve for X degrees plus 59 degrees will give us a sum of degrees. So we have 91 degrees plus X is equal to 180 degrees. Finally, in order to solve for X, we're going to subtract 91 degrees from both sides of the equation. 180 degrees minus 91 degrees will give us a final value of 89 degrees. So we are left with X is equal to 89 degrees, which is going to be the measure for the unknown angle. And with that being said, the answer to this problem is going to be a. So I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

The measures of two angles of a triangle are given. Find the measure of the third angle. See Example 2. 37° , 52°

Key Concepts

Triangle Angle Sum Property

Basic Arithmetic Operations

Angle Measurement Units

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