Question

11 fill in the blank 1 point bw || dm is shown where m∠xdm = 138° and m∠hbw = 29°. using the diagram, what is the m∠cwb? m∠cwb = 109

Explanation:

Step1: Find the supplementary angle of ∠XDM

Since ∠XDM = 138°, its supplementary - angle ∠MDH is 180°−138° = 42°.

Step2: Use the property of vertical angles

∠HBW and ∠DHM are vertical angles, so ∠DHM=∠HBW = 29°.

Step3: Calculate ∠CWB

∠CWB = ∠MDH+∠DHM. Substitute the values: ∠CWB=42° + 29°=71°.

Answer:

71