Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

in triangle ABC, the measure of

In Triangle ABC The Measure Of class=

Sagot :

Answer:

  • 128°

Step-by-step 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°

Answer:

m∠DCB = 3*41° + 5° = 128°