Use the Exterior Angle Theorem to find the measure of each angle.
1 answer:
Answer:
∠ C = 36°
∠ D= 81°
∠ DEC= 63°
Step-by-step explanation:
<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>
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∴ (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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