One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 20 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of
Stacey Warren - Expert brainly.com
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Well the angles in a triangle add up to 180 degrees total, for starters.
Yeah so what would the formula to solve it look like?
would it be x+x+20=180 ?
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alright so, the equation is 3x+20+x=180 , do you know why?
Because the one angle is 3 times the other?
yes, and one also 20 more than the smallest.
I mean 40
Wait, i may have messed up , let me check again
Actually i think i may be right XD, sorry it's a bit late
so is the largest angle 60
no no, the largest would be 3x wouldnt it? so it'd be 3(40) so 120, whereas the whole equation would be 120+40+20 = 180 right?
it can't be 60. think about it: with an equilateral triangle, each angle is 60 degrees. any other triangle will have angles larger than 60.
Okay I think I get it now
Does anyone think this is correct?
Work courtesy of @Ms_Worth
Let the smallest angle = x
Then the third angle is ( x + 20 )
The second angle is 3x
Together they add up to 180
x + 3x + ( x + 20 ) = 180
5x + 20 = 180
5x = 160
x = 32 <-- x was already defined as the smallest angle
The other angles are
( x + 20 ) = 32 + 20 = 52
3x = 3 ( 32 ) = 96 <-- largest angle
Answer: the largest angle is 96 degrees
32 + 52 + 96 = 180