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if m∠acb = 180°, and m∠acd = 55° then m∠dcb = ? °

Question

if m∠acb = 180°, and m∠acd = 55° then m∠dcb = ? °

Explanation:

Step1: Identify angle - relationship

$\angle ACB=\angle ACD+\angle DCB$

Step2: Solve for $\angle DCB$

$\angle DCB=\angle ACB - \angle ACD$
Since $\angle ACB = 180^{\circ}$ and $\angle ACD=55^{\circ}$, then $\angle DCB=180 - 55=125^{\circ}$

Answer:

$125$