Answer:
99°
Step-by-step explanation:
First, we have to keep in mind that the addition of all angles in a triangle is 180°.
We must write our information:
<em>One angle in a triangle has a measure that is three times as large as the smallest angle</em>
Because we dont know the exact amount of the smallest number we will call it "x". One angle is three times "x" so by the moment we have:
3x + x + ...
<em>The measure of the third angle is 15 degrees more than that of the smallest angle</em>
If the smallest angle is "x" then the 3rd angle will be: x+15
The addition of all angles is 180°
So, we create this equation:
1st angle + 2nd angle + 3rd angle = 180
3x + x + x+15 = 180
Then we solve it:
5x = 180-15
5x=165
x=33
But you have been asked the largest angle
The largest is 3x
If "x" is 33°
3x = 99°
Hope it was helpful ;)
