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In triangle ABC, the measure of
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In triangle ABC, the measure of

In triangle ABC, the measure of-example-1
User Daniel Golden
by
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2 Answers

8 votes

Answer:

m∠DCB = 3*41° + 5° = 128°

User Mavbozo
by
4.8k points
3 votes

Answer:

  • 128°

Explanation:

As per diagram we have:

  • ∠ECA ≅ ∠DCB - vertical angles
  • m∠ECA + m∠ABC = 180° - supplementary angles
  • m∠ECA = 3x + 5
  • m∠ABC = x + 11

Substitute values and solve for x:

  • 3x + 5 + x + 11 = 180
  • 4x = 164
  • x = 41

Find the required angle measure:

  • m∠DCB = 3*41° + 5° = 128°
User Gyuhyeon Lee
by
4.3k points
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