We'll recall the fact that an isosceles triangle has two
equal angle. Since the angle A is 30 degrees greater than B, then the equal angles are B
and C.
We also know that the sum of the angles in a
triangle is of 180 degrees, such as:
A + B + C =
180
A = B + 30
B =
C
B + 30 + B + B = 180
3B + 30
= 180
3B = 180 - 30
3B =
150
B = 50 degrees
But
B=C=>C=50 degrees.
A = B + 30 = 50+30 = 80
degrees.
Therefore, the requested angles of
isosceles triangle ABC are: A=80, B=50, C=50
degrees.
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