SOLUTION: the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle

Algebra.Com
Question 585175: the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle. find all three measures
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle. find all three measures
--------------------------------------------
Let the smallest angle be "x".
2nd angle is "x+28"
3rd angle is 2x
-----
Equation:
x + x+28 + 2x = 180
4x = 152
x = 38 degrees
x+28 = 66 degrees
2x = 76 degrees
======================
Cheers,
Stan H.
==============

RELATED QUESTIONS

The measure of one angle of a triangle is 28 more than the measure of the smallest angle... (answered by rfer)
The measure of one angle of a triangle is 28 more than the measure of the smallest angle... (answered by checkley77)
The measure of the largest angle of a triangle is twice the measure of the smallest angle (answered by richwmiller)
The measure of a triangle is twice the measure of the smallest angle. The measure of the... (answered by Fombitz)
One angle of a triangle is twice as large as the smallest angle. The measure of the third (answered by Earlsdon)
The measure of one angle of a triangle is 28 more than the measure of the smallest angle (answered by scott8148)
In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by Cromlix)
One angle of a triangle measures 20 degrees more than the smallest, while a third angle... (answered by rfer)
One angle of a triangle measures 44∘ more than the smallest, while a third angle is (answered by Fombitz)