SOLUTION: If one angle of a triangle is equal to the the sum of other two angles then the triangle is: a) an isosceles triangle b) an equilateral triangle c) a right angle triangle d) a

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Question 1047381: If one angle of a triangle is equal to the the sum of other two angles then the triangle is:
a) an isosceles triangle
b) an equilateral triangle
c) a right angle triangle
d) an obtuse triangle
Found 2 solutions by Alan3354, mathslover:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:
45-45-90 is one
30-60-90 is another
50-60-70 is not one.

Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Let a , b and c be the three angles.
Its given that one angle is the sum of the other 2 angles.
Let a=b+c
Adding a to both sides,
2a= a+b+c
=> 2a = 180 since sum of three angles in triangle is 180 degrees.
=>a=90 degrees
Therefore the triangle is right angle triangle