Question

each of the two equal angles of an isosceles triangle is half the third angle find the angles of the triangle​

Answer 1

Two Equal Angles = 45°

Third Angle = 90°

Explanation:

Given information

Two equal angles of an isosceles triangle are half the third angle

Set variables

Let x be the angle of the equal angles of the isosceles triangle

Let 2x be the angle of the third angle

Set equations

x + x + 2x = 180 (Triangle angle sum theorem)

Combine like terms

2x + 2x = 180

4x = 180

Divide 4 on both sides

4x / 4 = 180 / 4

`\Large\boxed{x=45^\circ}`

Substitute the x value into the expression to find the third angle

Third angle = 2x

= 2 (45)

=
`\Large\boxed{90^\circ}`

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