SOLUTION: The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles?
I tried
Algebra.Com
Question 544812: The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles?
I tried adding together 69 and 24 and subtracting it from 180 but then I realized that wasn't correct. I don't really know how to do problems like this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles?
----------
Let 1st be "x":
Then 2nd is "x+24":
And 3rd is "x+24+69"
-----
Equation:
x + x+24 + x + 93 = 180
3x = 180-117
3x = 63
x = 21 degrees
x+24 = 45 degrees
x+93 = 114 degrees
========================
Cheers,
Stan H.
===============
RELATED QUESTIONS
The second angle of a triangle is three times as large as the first. The third angle is... (answered by rfer)
In a triangle, one angle is 4 times larger than another. The third angle is 15 degrees... (answered by oscargut)
The second angle of a triangle is twice the first angle. the third angle is 20 degrees... (answered by stanbon)
One angle of a triangle is twice as large as a second angle. The third angle is 28... (answered by ewatrrr)
The second angle of a triangle is twice the first angle. The third angle is 20 degrees... (answered by checkley71)
the second angle of a triangle is twice the first angle. the third angle is 20 degrees... (answered by checkley77)
the first angle of a triangle is double the third angle. the second angle of a triangle... (answered by rfer)
in a triangle, the second angle is 15 more than the first angle and the third angle is 5... (answered by Alan3354)
one angle of a triangle is 30 degrees larger than the smallest angle, and the third angle (answered by nerdybill)