SOLUTION: what is the measures of each of the angles? The second angle in a triangle is one and a half times the measure of the first. The third is 15 degrees more than half the first angle

Click here to see ALL problems on Angles

Question 472960: what is the measures of each of the angles? The second angle in a triangle is one and a half times the measure of the first. The third is 15 degrees more than half the first angle. can you also show how to figure this?
Found 2 solutions by ankor@dixie-net.com, stanbon:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
what is the measures of each of the angles? The second angle in a triangle is one and a half times the measure of the first. The third is 15 degrees more than half the first angle. can you also show how to figure this?:
:
let x = "the first angle
:
Write an equation for each phrase.
:
"The second angle in a triangle is one and a half times the measure of the first."
1.5x = the 2nd angle
:
" The third is 15 degrees more than half the first angle."
.5x + 15 = the 3rd angle
:
We know the 3 angles = 180, therefore
x + 1.5x + (.5x+15) = 180
x + 1.5x + .5x = 180 - 15
3x = 165
x =
x = 55 degrees is the 1st angle
then
1.5(55) = 82.5 degrees is the 2nd angle
and
.5(55) + 15 = 42.5 degrees is the 3rd angle
:
:
See if this checks out
55 + 82.5 + 42.5 = 180, it does

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
what is the measure of each of the angles?
The second angle in a triangle is one and a half times the measure of the first.
The third is 15 degrees more than half the first angle.
---
Let 1st angle be "x".
Then 2nd angle is 1.5x
And 3rd angle is (x/2) + 15
-----
Equation:
x + 1.5x + (x/2)+15 = 180 degrees
3x = 165
x = 55 degrees
1.5x = 82.5 degrees
(x/2) + 15 = 42.5 degrees
=================
Cheers,
Stan H.
===============