SOLUTION: the first angle of a triangle is half the measure of the 2nd angle. the measure of the 3rd angle is 40 degrees more than 4 times the measure of the 1st. find the measure of each

Algebra.Com
Question 262002: the first angle of a triangle is half the measure of the 2nd angle. the measure of the 3rd angle is 40 degrees more than 4 times the measure of the 1st. find the measure of each angle
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the measure of the first angle. Then represents the measure of the second angle, and represents the measure of the third angle. The sum of the interior angles of a triangle is 180 degrees, so:



Solve for to find the measure of the first angle, then the others follow from the information given.

John


RELATED QUESTIONS

The first angle of a triangle is half the measure of the second angle. The measure of the (answered by Fombitz)
The first angle of a triangle is half the measure of the second. The measure of the third (answered by Greenfinch)
The first angle of a triangle is half the measure of the second angle. The measure of the (answered by stanbon,RAY100)
In a triangle, the measure of the first angle is 3 times the measure of the 2nd angle.... (answered by cleomenius)
The sum of three angles in a triangle is 180°. The 1st angle is four times the 2nd angle... (answered by rfer)
In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)
I tried this, but my answer turned out being too high. Here's the problem. The first... (answered by checkley71)
The measure of second triangle is 21 degrees more than measure of the first angle. The... (answered by pwac)
The 2nd angle of a triangle is 6 times the 1st angle.If the 3rd angle is 45 degrees more... (answered by HyperBrain,janine_212)