Friday, July 3, 2015

An isosceles triangle has angle A 30 degrees greater than angle B. Find all angles of triangle?

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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