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Using Angle Relationships to Solve Problems

Using Angle Relationships to Solve Problems. Example 1: Find the value of x in the diagram. x. 37 o. These are vertical angles, or opposite angles made by intersecting lines. Relationship: Vertical angles are equal in measure. x = 37 o. Example 2: Find the value of x in the diagram.

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Using Angle Relationships to Solve Problems

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  1. Using Angle Relationships to Solve Problems

  2. Example 1: Find the value of x in the diagram. x 37o These are vertical angles, or opposite angles made by intersecting lines. Relationship: Vertical angles are equal in measure. x = 37o

  3. Example 2: Find the value of x in the diagram. 120o 2x Relationship: Vertical angles are equal in measure. 2x = 120o Solve equation for x. 2 2 x = 60o

  4. Example 3: Find the value of x in the diagram. Relationship: Vertical angles are equal in measure. 3x - 10 50o Solve equation for x. 3x – 10 = 50o + 10 +10 3x = 60 3 3 x = 20o

  5. Example 4: Find the value of x in the diagram. x 53o These are supplementary angles. Relationship: Supplementary angles add to 180o. x + 53o = 180o Solve equation for x. - 53 - 53 x = 127o

  6. Example 5: Find the value of x in the diagram. 80o 10x Relationship: Supplementary angles add to 180o. 10x + 80o = 180o Solve equation for x. - 80 - 80 10x = 100o 10 10 x = 10o

  7. Example 6: Find the value of x in the diagram. x + 48 x Relationship: Supplementary angles add to 180o. Solve equation for x. x + x + 48o = 180o 2x + 48o = 180o - 48 - 48 2x = 132o 2 2 x = 66o

  8. Example 7: Find the value of x in the diagram. x 15o These are complementary angles. Relationship: Complementary angles add to 90o. x + 15o = 90o Solve equation for x. - 15 - 15 x = 75o

  9. Example 8: Find the value of x in the diagram. 63o 3x Relationship: Complementary angles add to 90o. 3x + 63o = 90o Solve equation for x. - 63 - 63 3x = 27 3 3 x = 9o

  10. Example 9: Find the value of x in the diagram. Relationship: Complementary angles add to 90o. x + 16o x x + x + 16o = 90o Solve equation for x. 2x + 16o = 90o - 16 - 16 2x = 74 2 2 x = 37o

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