One of the two equal angles of an isosceles triangle measures 55° Find the
measure of all the angles of triangle.
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Given :-
Two angles of a isosceles triangle are equal
Measurement of one angle = 55°
Solution :-
Let the given triangle be ABC
AngleA = 55°
As we know,
Angles opposite to equal sides of a triangle are equal.
AngleA = AngleB = 55°
Now,
By using Angle sum property
AngleA + AngleB + AngleC = 180°
55° + 55° + AngleC = 180°
110° + AngleC = 180°
AngleC = 180° - 110°
AngleC = 70°
Hence, The angles will be 55° , 55° and 70°
Properties of isosceles triangle
- An isosceles triangle has two equal sides .
- An isosceles triangle has two equal angles.
- The sum of internal angles of triangles is 180° .
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