Question

The base angles of an isosceles triangle
are each 24° more than the top angle.
Find the measures of all the angles.​

Answer 1

Answer:

let the top angle be x so the base angles will be x + 24 each...

since the sum of angles of a triangle is 180 degree therefore:

X+X+24+X+24 = 180

3X + 48 = 180

3X = 180-48

3X= 132

X = 132/3

therefore; X= 44degree

so the top angle = X = 44 degree

and both base angles are X+24 = 44 + 24 = 68 degree each...

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