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3 votes
3 votes
Which theorem or postulate supports the answer to the previous question?

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Which theorem or postulate supports the answer to the previous question? Previous-example-1
Which theorem or postulate supports the answer to the previous question? Previous-example-1
Which theorem or postulate supports the answer to the previous question? Previous-example-2
User Ahmad Khan
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1 Answer

19 votes
19 votes
The angle addition postulate states that two adjacent (next to each other) angles can be added together to find the the total angle measure. This is the case in this problem. Angles CLM and KLC can be added together and will sum up to the total angle measure of angle KLM.

So, let’s model this with an equation:

m∠CLM + m∠KLC = m∠KLM

Now, substitute in the angle measures:

95 + m∠KLC = 168

Now, solve for the measure of angle KLC by subtracting 95 from both sides:

m∠KLC = 168 - 95

m∠KLC = 73°

73+95=168

So, the angle measure of KLC is 73°

User Abe Miessler
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