Question

If each of two equal angles of an isoceles triangle is four times the third angle , find the third angle of a triangle

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Answer 1

Answer:

The sum of angles of any triangle is 180°

let the third angle be "y"

two equal angles are 4 times the third angle,that means 4y

4y+4y+y=180°

9y=180°

y=180/9=20°

The third angle is 20°

other two angles are 4×20,4×20=80°,80°

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Answer 2

Step-by-step explanation:

let the third angle be x

both equal. angles are 4x and 4x.

by triangle property.

sum of all angles of a triangle is 180 degree.

then,

x + 4x + 4x = 180 degree

9x = 180

x = 180/9

x = 20

therefore third angle is 20°