Asked by bee_bro
In an isosceles triangle is one of the angles 40∘. What values are possible for the outer angles.
(not asking help from Writeacher) only oobleck
(not asking help from Writeacher) only oobleck
Answers
Answered by
Bosnian
The sum of the measures of the angles is 180° in a triangle.
An isosceles triangle has 2 equal sides and 2 equal angles.
Mark equal angles with θ.
So:
40° + θ + θ = 180°
40° + 2 θ = 180°
Subtract 40° to both sides
2 θ = 140°
Divide both sides by 2
θ = 70°
In this triangle the angles are:
40° , 70° , 70°
An isosceles triangle has 2 equal sides and 2 equal angles.
Mark equal angles with θ.
So:
40° + θ + θ = 180°
40° + 2 θ = 180°
Subtract 40° to both sides
2 θ = 140°
Divide both sides by 2
θ = 70°
In this triangle the angles are:
40° , 70° , 70°
Answered by
oobleck
The other possibility is, of course,
40°, 40°, 100°
40°, 40°, 100°
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