Asked by Jason
The degree measures of two angles of a triangle are consecutive even integers. If the measure of the third angle is 50 degrees more than twice the measure of the least angle. Find the measure of each angle.
Answers
Answered by
drwls
Let x be the smallest angle.
x + 2 is the next smallest angle
The largest angle is 2x + 50
The sum of all angles is 180 degrees, since it is a triangle.
x + x + 2 + 2x + 50 = 180
4x = 180 - 52 = 128
x = 32
The other angles are 34 and 114
x + 2 is the next smallest angle
The largest angle is 2x + 50
The sum of all angles is 180 degrees, since it is a triangle.
x + x + 2 + 2x + 50 = 180
4x = 180 - 52 = 128
x = 32
The other angles are 34 and 114