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how to find the measure of angle C in the following triangle
You can use various properties of angles to find the measure of the second angle. For example, if you can see that the two angles form a right angle, then you know they add up to 90°, so you can subtract the known measure from 90° to find the measure of the other.
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The supplemental angle to an angle measure 132° is an angle measuring 114°. The supplement of an angle is another angle whose measure, when added to the original angle, will result in a measure of 180°. Given an angle that is 132°, we can find the supplement's measure by subtracting this angle from 180°. 180° - 132° = 114°