Question

If AB || CD in each of the following, find x.
plz give me the answer in detail ​

Answer 1

Answer:

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

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