Question

m\angle∠A = 9x - 7, m\angle∠B = 7x - 9, and m\angle∠C = 28 - 2x. List the sides of \triangle△ABC in order from shortest to longest.

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

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+90

∘

=180

∘

∠BME=180

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−125

∘

∠BME=45

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In △DMF

∠DMF+∠MDF+∠MFD=180

∘

(Angle sum property )

∠DMF+75

∘

+90

∘

=180

∘

∠DMF=180

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−165

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∠DMF=15

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x=∠DMF+∠BME+∠EMF

x=15

∘

+45

∘

+180

∘

x=240

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