∠acd and ∠dcb form a linear pair. if m∠dcb = 140°, then m∠acd = ?°

∠acd and ∠dcb form a linear pair. if m∠dcb = 140°, then m∠acd = ?°

∠acd and ∠dcb form a linear pair. if m∠dcb = 140°, then m∠acd = ?°

Answer

Explanation:

Step1: Recall linear - pair property

The sum of angles in a linear pair is 180°. So, (m\angle ACD + m\angle DCB=180^{\circ}).

Step2: Solve for (m\angle ACD)

We know (m\angle DCB = 140^{\circ}), then (m\angle ACD=180^{\circ}-m\angle DCB). Substitute (m\angle DCB = 140^{\circ}) into the equation: (m\angle ACD = 180 - 140).

Answer:

40