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Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28 is what percent of 80 ? 2 . 15 is 5% of what number?
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Daily Homework Quiz For use after Lesson 7.3 Use a percent proportion to answer the question. 1 . 28 is what percent of 80 ? 2 . 15 is 5% of what number? ANSWER 35% ANSWER 300
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Prerequisite Skills VOCABULARY CHECK Point: a figure without dimensions. Line: a figure that extends without end in two opposite directions. X Y XY CD A Ray: a figure that has one endpoint and extends without end in one direction. C D
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Prerequisite Skills VOCABULARY CHECK Identify the object with the review word from the list: point, line, ray, plane, angle, vertex, degree. 2. 1. 3. ANSWER line ANSWER point ANSWER ray 4. A unit for measuring angles is a(n) ? . ANSWER degree
Two angles are supplementary if the sum of their measures is 180 degrees.
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GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 1. m 1 = 79 m 2 = 101 m 1+ m 2 = 79 ° + 101 ° ANSWER Hence, the angles are supplementary. = 180
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GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 2. m 1 = 64 m 1 = 36 m 1+ m 2 = 100 ° = 64 + 36 ANSWER Hence, 1 and 2 are neither complementary nor supplementary.
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GUIDED PRACTICE for Example 1 SOLUTION Tell whether 1 and 2 are complementary , supplementary , or neither . 3. m 1 = 52 m 1 = 38 m 1+ m 2 = 52 + 38 = 90 ANSWER Hence, 1 and 2 are complementary.
When two lines intersect at a point , they form two pairs of vertical angles. They do not share a side, and they have the same measure.
1 3 4 2 Angles 1 & 2 are vertical angles and 3&4 are vertical angles.
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GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 137° 43° 43° It is given that m 5 = 137 . 5 and 7 are vertical angles.Their measures are equal, so m 7 = 137 ° .
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GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. SOLUTION STEP 1 54° 126° 126° It is given that m 8 = 54 . 8 and 10 are vertical angles. Their measures are equal, so m 10 = 54 ° .
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