an isosceles triangle contains two equal angles. Each of these angles is 25 degrees larger than twice the smallest angle. What a

Question

Ann [662]

3 years ago

14

an isosceles triangle contains two equal angles. Each of these angles is 25 degrees larger than twice the smallest angle. What a

re the measures of the three angles

Mathematics

1 answer:

Helga [31] · Answer 1 · 2022-04-06T09:15:28+03:00

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