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Interior Angles of a Triangle

Interior Angles of a Triangle. 119 o. Example 1: Find the value of x in the diagram. 43 o. Angles of a triangle: The sum of the measures of the angles of a triangle is 180 o. x. x + 43 + 119 o = 180 o. x + 162 o = 180 o. - 162 - 162. x = 18 o. x.

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Interior Angles of a Triangle

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  1. Interior Angles of a Triangle

  2. 119o Example 1: Find the value of x in the diagram. 43o Angles of a triangle: The sum of the measures of the angles of a triangle is 180o. x x + 43 + 119o = 180o x + 162o = 180o - 162 - 162 x = 18o

  3. x Example 2: Find the value of x in the diagram. 28o Remember: The largest angle in a right triangle is exactly 90o. x + 28 + 90= 180o x + 118= 180o - 118 -118 x = 62o

  4. 20o Example 3: a) Find the value of x in the diagram. • Find the measures of the unknown angles. 2x 2x 2x + 2x + 20= 180o 2x 2(40) 80o This is the measurement of both of the unknown angles. 4x + 20 = 180o - 20 - 20 4x = 160o Check: 80 + 80 + 20 = 180 180=180 4 4 x = 40o

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