Question

A base angle of an isosceles triangle is 27° more than its vertical angle.find all the angles of the triangle. ​

Answer 1

• Isosceles triangle have a vertical angle and the two base angles are equal.

Let the vertical angle be x° and base angles be x°+27°.

x°+ x°+27°+ x°+27°=180°

3x°+54°=180°

3x°=180°-54°

3x°=126°

x°=126°/3°

x=42°

Thus,

1. Vertical angle=x°=42°
2. Base angles=x°+27°

=42°+27°

=69°

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