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EXAMPLE 1

Name the three angles in the diagram. WXY, or YXW. YXZ, or ZXY. WXZ, or ZXW. You should not name any of these angles X because all three angles have X as their vertex. EXAMPLE 1. Name angles.

laurence-lemaitre
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EXAMPLE 1

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  1. Name the three angles in the diagram. WXY, or YXW YXZ, or ZXY WXZ, or ZXW You should not name any of these angles X because all three angles have Xas their vertex. EXAMPLE 1 Name angles

  2. Use the diagram to find the measure of the indicated angle. Then classify the angle. a.KHJ b.GHK c.GHJ d.GHL EXAMPLE 2 Measure and classify angles SOLUTION A protractor has an inner and an outer scale. When you measure an angle, check to see which scale to use.

  3. o a. HJ is lined up with the 0 on the inner scale of the protractor. HKpasses through 55 on the inner scale. So, mKHJ = 55 . It is an acute angle. o o o b. HG is lined up with the 0 on the outer scale and HKpasses through 125 on the outer scale. So, mGHK = 125 . It is an obtuse angle. o o o c. m GHJ = 180. It is a straight angle. o d. m GHL= 90. It is a right angle. EXAMPLE 2 Measure and classify angles

  4. 1. Name all the angles in the diagram. Which angle is a right angle? ANSWER PQR , PQS, RQS ; PQSis a right angle . for Examples 1and 2 GUIDED PRACTICE

  5. ANSWER Straight Angle for Examples 1and 2 GUIDED PRACTICE 2. Draw a pair of opposite rays. What type of angle do the rays form?

  6. o ALGEBRAGiven that m LKN =145 , find m LKM andm MKN. STEP 1 Write and solve an equation to find the value of x. mLKN = m LKM + mMKN o o o 145 = (2x + 10)+ (4x – 3) EXAMPLE 3 Find angle measures SOLUTION Angle Addition Postulate Substitute angle measures. 145 = 6x + 7 Combine like terms. 138 = 6x Subtract 7 from each side. 23 = x Divide each side by 6.

  7. STEP 2 Evaluate the given expressions when x = 23. mLKM = (2x+ 10)° = (2 23+ 10)° = 56° mMKN = (4x– 3)° = (4 23– 3)° = 89° So, m LKM = 56°and m MKN = 89°. ANSWER EXAMPLE 3 Find angle measures

  8. Find the indicated angle measures. 3. Given that KLMis a straight angle, find mKLN andm NLM. ANSWER 125°, 55° for Example 3 GUIDED PRACTICE

  9. 4. Given that EFGis a right angle, find mEFH andm HFG. ANSWER 60°, 30° for Example 3 GUIDED PRACTICE

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