The measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest. the measure of the remaining angle is 1 less than twice the measure of the smallest angle. find the measure of each angle.

Question

Dana

Mathematics

28 January, 03:52

The measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest. the measure of the remaining angle is 1 less than twice the measure of the smallest angle. find the measure of each angle.

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Natalie Hodge · Answer 1

Suppose the smallest angle is x

the largest is 5x-3

the remaining angle is 2x-1

the three angles make a sum of 180: x+5x-3+2x-1=180

8x-4=180

8x=184

x=23

the smallest angle is 23 degree.