Question

in ∆ABC, angle A = x°,angle B = 3x-2°,angle C = y°, also angle C - angle B = 9°. the sum of the greatest and smallest angles of this triangle is​

Answer 1

Answer:

Ina△ABC, (By angle sum property)

∠A+∠B+∠C=180∘

∠C−∠B=9

⟹y−(3x−2)=9

∴y=7+3x

x+(3x−2)+y=180∘

⟹4x−2+7+3x=180∘

⟹x=25∘

∴y=7+3×25=82∘

∴∠A=x=25∘,B=3x−2=73∘

∠C=y=82∘

Step-by-step explanation:

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Answer 2

Answer:

Given:A=x,B=3x,C=y

∴Sumof△le=x+3x+y

180=4x+y

⟹180−4x=y

Also,3y−5x=30

∘

Subtituting y value, ∴3(180−4x)−5x=30

∴x=30,bysolving

∴y=180−4×30=60

∴A=30

∘

;B=90

∘

;C=60