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Solve the equation to find the value of the variable.
1. x° + 40° = 110°
2. r° − 44° = 135°
3. n° − 19° = 125°
4. y° − 55° = 35°
5. 2t° + 10° = 140°
6. 2w° − 65° = 175°
Warm Up
Find the value of the variable.
Cumulative Warm Up
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A lighthouse keeper measures the angles formed by the lighthouse at point M and three boats. Name three angles shown in the diagram.
Example 1
Write three names for the angle.
Monitoring Progress 1­3
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Postulate
Core Concept
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Find the measure of each angle.
Then classify each angle.
a. GHK b. JHL c. LHK
Example 2
Use the diagram to find the angle measure. Then classify the angle.
4. JHM 5. MHK 6. MHL
Monitoring Progress 4­6
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Postulate
Given that m LKN = 145°, find m LKM and m MKN.
Example 4
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Find the indicated angle measures.
8. Given that KLM is a straight angle, find m KLN and m NLM.
9. Given that EFG is a right angle, find m EFH and m HFG.
Monitoring Progress 8­9
bisects PQR, and m PQS = 24°. Find m PQR.
Example 5
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10. Angle MNP is a straight angle, and bisects MNP. Draw MNP and . Use arcs to mark the congruent angles in your diagram. Find the angle measures of these congruent angles.
Monitoring Progress 10
Homework: p. 43 #3­11 odds, 21­29 odds
Sep 14­11:17 AM
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