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Pairs of Angles

The sum of the measures of supplementary angles is 180º. x ° + m DEF = 180°. Simplify. x ° + 73° = 180°. Substitute 73º for m DEF. x ° + 73° – 73° = 180° – 73°. Subtract 73º from each side. x ° = 107°. The measure of the supplement of m DEF is 107º. COURSE 3 LESSON 8-1.

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Pairs of Angles

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  1. The sum of the measures of supplementary angles is 180º. x° + m DEF = 180° Simplify. x° + 73° = 180° Substitute 73º for mDEF. x° + 73° – 73° = 180° – 73° Subtract 73º from each side. x° = 107° The measure of the supplement of mDEF is 107º. COURSE 3 LESSON 8-1 Pairs of Angles If mDEF = 73º, find the measure of its supplement. 8-1

  2. x° + 67° = 90° Simplify. x° + 67° – 67° = 90° – 67° Subtract 67º from each side. x° = 23° The sum of the measures of complementary angles is 90º. COURSE 3 LESSON 8-1 Pairs of Angles A right angle is divided into two angles. If the measure of the larger angle is 67°, find the measure of its complement. The measure of the complement of 67º is 23º. 8-1

  3. DKE and FKE are supplementary. m DKE + 90° = 180° m DKE = 90° Subtract 90º from each side. COURSE 3 LESSON 8-1 Pairs of Angles In this figure, if mDKH = 73°, find the measures of GKJ and JKF. 8-1

  4. KHE and DKH are complementary. m KHE + 73° = 90° m KHE = 17° Subtract 73º from each side. GKJ and KHE are vertical angles. m GKJ = mKHE = 17° JKF and DKH are vertical angles. m JKF = mDKH = 73° COURSE 3 LESSON 8-1 Pairs of Angles (continued) 8-1

  5. AXD and BXC; AXB and DXC AXD and BXC COURSE 3 LESSON 8-1 Pairs of Angles Use the diagram to answer Questions 1 and 2. 1. List all pairs of vertical angles. 2. List any angles adjacent to CXD. 3. If mAXB = 110°, find mDXC. 4. An angle measures 57°. What is the measure of its supplement? 5. An angle measures 24°. What is the measure of its complement? 110° 123° 66° 8-1

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