Question

In ∆ABC, if A=6x-7,B=7x+1andC=2.5x,then find the measure of all the angles.​

Answer 1

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Answer 2

Answer : x = 12 , angle a = 65 , angle b = 85 , angle c = 30

Step by step explanation :

angle a + angle b + angle c =180

Therefore 6x - 7 + 7x + 1 + 2.5x = 180

Therefore 15.5x - 6 = 180

Therefore 15.5x = 180 + 6

Therefore .5x = 186

Therefore = 186 ÷ 15.5

Therefore x = 186 ×10 ÷ 155

Therefore x = 12

Angle A = 6x - 7 = 6(12) - 7

= 72 - 7 = 65

Angle B = 7x + 1 = 7(12) + 1

= 84 + 1 = 85

Angle C = 2.5 x

= 2.5(12) = 30