An isosceles triangle contains two equal angles. each of these angles is 25 degrees larger than twice the smallest angle. what are the measures of the three angles

Well, the sum of all internal angles in a triangle, isosceles or whatever else, is always 180°, so the sum of all those three folks, will be 180 then

so.. hmmm let's say the smallest angle is "a" units

twice that is, 2*a, or 2a
25 larger than that? is well 2a + 25

so... the other two twin angles, are 2a+25 each

thus   a + (2a + 25) + (2a + 25) = 180

solve for "a" to find the smalles one

what about the twins? well, each is 2a + 25

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