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How can u find missing angles measurements in supplementary angles?

How can u find missing angles measurements in supplementary angles?-example-1
User Simon Martin
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1 Answer

13 votes
13 votes

First, let's remember the definition of a supplementary angle

A supplementary angle is an angle with which a straight angle is formed. That is, two angles are supplementary if their sum is 180º

We have two angles, the angle

The angle
\begin{gathered} <\text{ABD}+<\text{CBD}=180 \\ <\text{ABD}+92.1=180- \\ <\text{ABD}=180-92.1 \\ <\text{ABD}=87.9 \end{gathered}

In conclusion, the answer is 87.9°

The lines are what form the angles for us, where the supplementary angle, in this case, the angle

How can u find missing angles measurements in supplementary angles?-example-1
User Taras Leskiv
by
3.3k points