jaymiyoung03
jaymiyoung03 jaymiyoung03
  • 08-03-2021
  • Mathematics
contestada

Use the Exterior Angle Theorem to find the measure of each angle.

Use the Exterior Angle Theorem to find the measure of each angle class=

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nihalachar
nihalachar nihalachar
  • 09-03-2021

Answer:

∠ C = 36°

∠ D= 81°

∠ DEC= 63°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the interior opposite angles.

∴   (11y + 4) + (5y + 1) = 117

         11y + 4 + 5y + 1 = 117

         16y + 5 = 117

         16y = 117-5

         16y = 112

         y = 112÷16

         y = 7

∠ C = 5×(7) + 1 = 36°

∠ D = 11×(7) + 4 = 81°

∠ DEC = 180- 117 = 63°

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