Question

The sum of two angles of a triangle is 80°and difference is 20°. Find all angles of triangle.

Answer 1

HEYA!
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Let the Angles be X° and Y° respectively.

ACCORDING TO THE GIVEN QUESTION:-
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X + Y = 80 °

X - Y = 20°

Solving the two equations by Elimination Method ,


2X = 100

X = 50°

Put X = 50 in the equation ,

50 + Y = 80

Y = 30°

We can now find the third angle by Angle Sum Property .

Sum of Angles of a Triangle = 180

50° + 30° + Z = 180

Z =100°

Hence the Angle are 30° , 50° and 100°


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