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Geometry Shapes and Angles, Triangle Angle Measures

This text provides information on the number of sides of trapezoids and parallelograms, as well as the measures of interior and exterior angles in triangles. It also covers writing equations and solving for unknown angles.

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Geometry Shapes and Angles, Triangle Angle Measures

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  1. Week 3 Warm Up 11.01.11 State the number of sides: 1) Trapezoid 2) Parallelogram

  2. m∠x? Re 1 B 65⁰ A C x⁰ 58⁰ 58 + 65 + x = 180º 123 + x = 180 x = 180 - 123 x = 57º

  3. The three original angles on the inside of the triangle. Interior Angles

  4. Exterior Angles Adjacent to the interior angles.

  5. Theorem 4.2 B 1 C A m∠1 = m∠A + m∠B

  6. Ex 1 B 65⁰ ( 2x + 10 )⁰ x⁰ 2x + 10 A C ( 2x + 10 )º = xº + 65º 2x + 10 = x + 65 2( 55 ) + 10 2x - x + 10 = 65 110 + 10 x + 10 = 65 120º x = 65 - 10 x = 55

  7. Theorem 4.1 Don’t Write! B A C m∠A + m∠B + m∠C = 180⁰.

  8. Theorem 4.1B A C B m∠A + m∠B = 90º

  9. 2x⁰ Ex 2 x⁰ 90º = xº + 2xº 90 = 3x 15 = x

  10. P( -2, -3 ) m = Algebra Review y = mx + b Writing Equations -3 = ( ) ( -2 ) + b -3 = 7 + b -3 - 7 = + b -10 = + b y = x - 10

  11. what is the measure of the exterior angle? Do: 1 B 38⁰ ( 10x + 9 )⁰ ( 7x + 1 )⁰ C A Assignment: Textbook Page 198, 10 - 32 evens.

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