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Find the measure of an inscribed angle.

Objectives. Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems. Substitute 118 for mPU. Example 1A: Finding Measures of Arcs and Inscribed Angles. Find each measure. m  PRU. Inscribed  Thm. m SP.

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Find the measure of an inscribed angle.

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  1. Objectives Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems.

  2. Substitute 118 for mPU. Example 1A: Finding Measures of Arcs and Inscribed Angles Find each measure. mPRU Inscribed  Thm.

  3. mSP Example 1B: Finding Measures of Arcs and Inscribed Angles Find each measure. Inscribed  Thm. Substitute 27 for m SRP. Multiply both sides by 2.

  4. Check It Out! Example 1a Find each measure. Inscribed  Thm. Substitute 135 for m ABC. Multiply both sides by 2.

  5. Substitute 76 for mDE. Check It Out! Example 1b Find each measure. mDAE Inscribed  Thm.

  6. mLJM = mLKMmLJM and mLKM both intercept LM. Example 3B: Finding Angle Measures in Inscribed Triangles Find mLJM. 5b – 7 = 3b Substitute the given values. 2b – 7 = 0 Subtract 3b from both sides. 2b = 7 Add 7 to both sides. b = 3.5 Divide both sides by 2.

  7. Example 3A: Finding Angle Measures in Inscribed Triangles Find a. 5a + 20 = 90 Substitute 5a + 20 for mWZY. 5a = 70 Subtract 20 from both sides. a = 14 Divide both sides by 5.

  8. Example 4: Finding Angle Measures in Inscribed Quadrilaterals Find the angle measures of GHJK. Step 1 Find the value of b.

  9. Example 4 Continued Step 2 Find the measure of each angle.

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