In ∆ABC , angle A=(3x-5)°, angle B(2x+15)° and angle C=(4x+35)°. Find the measures of each angle of the trian
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Answered by
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Answer:
According to the angle sum property of a triangle, the sum of all the interior angles in a triangle should be 180°.
3x - 5 + 2x + 15 + 4x + 35 = 180°
9x = 45 = 180°
9x = 135
x = 15.
Angle A = 3x - 5
= 3 (15)-5
= 40°
Angle B = 2x + 15
= 2 (15) + 15
= 45°
Angle C = 4x + 35
= 4 (15) + 35
= 95°
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