Question

In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.​

Answer 1

240°

Explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘