SOLUTION: The measure of the second angle of a triangle is 50 more than that of the first angle. The measure of the third angle is 10 less than twice the first angle. Find the measures of th

Algebra ->  Angles -> SOLUTION: The measure of the second angle of a triangle is 50 more than that of the first angle. The measure of the third angle is 10 less than twice the first angle. Find the measures of th      Log On


   



Question 852595: The measure of the second angle of a triangle is 50 more than that of the first angle. The measure of the third angle is 10 less than twice the first angle. Find the measures of the angles.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Three angles; A, B, C
:
Write an equation for each statement
:
The measure of the second angle of a triangle is 50 more than that of the first angle.
B = A + 50
The measure of the third angle is 10 less than twice the first angle.
C = A - 10
:
Find the measures of the angles.
We know
A + B + C = 180
Replace B with (A+50) and C with (A-10) and find A