Question

In triangle ABC, the measure of

Answer 1

m∠DCB = 3*41° + 5° = 128°

Answer 2

• 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°