in triangle ABC the measure of angle B is 21 less than four times the measure of angle A and the measure of angle C is 1 more than five times the measure of angle A find the measure of each angle
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in triangle ABC the measure of angle B is 21 less than four times the measure of angle A and the measure of angle C is 1 more than five times the measure of angle A find the measure of each angle
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Step-by-step explanation:
let the angle A be x
so angle B will be 4x-21
and angle C will be 5x+1
= angleA+ B + C = 180 ( angle sum property of triangle)
= x+ ( 4x-21) + ( 5x+1) = 180
= 10x - 20 = 180
= 10x = 180 + 20= 200
= x = 200/10 = 20
angle A = 20
angle B = 59
angle C = 101