Answer:
Explanation:
Let x be the measure of the smaller angle, and y be the measure of the larger angle. Then we know that:
x + y + 100 = 180, since the sum of the angles in a triangle is 180 degrees.
y/x = 11/5, since the other two angles are in a ratio of 5:11.
We can use the second equation to solve for y in terms of x:
y/x = 11/5
y = 11x/5
Substituting this into the first equation, we get:
x + (11x/5) + 100 = 180
Multiplying both sides by 5, we get:
5x + 11x + 500 = 900
16x = 400
x = 25
Therefore, the smaller angle measures 25 degrees, and the larger angle measures:
y = 11x/5 = 11(25)/5 = 55
So the two angles are 25 degrees and 55 degrees.
To check this make sure the sum of all the angles is 180.
55+25+100=180