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?:
:
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 = {{{165/3}}}
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