if m∠acd = 40°, then m∠dcb = ?°

if m∠acd = 40°, then m∠dcb = ?°

if m∠acd = 40°, then m∠dcb = ?°

Answer

Answer:

$140$

Explanation:

Step1: Identify angle - relationship

$\angle ACD$ and $\angle DCB$ are supplementary.

Step2: Use supplementary - angle formula

$m\angle ACD + m\angle DCB=180^{\circ}$

Step3: Solve for $m\angle DCB$

$m\angle DCB = 180^{\circ}-m\angle ACD$ Substitute $m\angle ACD = 40^{\circ}$ into the formula: $m\angle DCB=180 - 40=140^{\circ}$