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One angle of an isosceles triangle measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 40,100,30,70

Sagot :

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Hello bcastorena190!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

One angle of an isosceles triangle measures 40°. Which other angles could be in that isosceles triangle?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

So, an isosceles triangle is a triangle which has :-

  • 2 equal angles
  • 2 equal sides.

For, this question, we only need to use the condition of 2 equal angles.

Let's take a look at the question. It's given that, 1 angle is 40°. We know that an isosceles triangle has 2 equal angles, so 1 other angle will also be 40°. Now, let's take the 3rd missing angle as x°. In a triangle, according to the angle sum property we know that all the 3 angles in a triangle will sum up to 180°. So, using this property...

[tex]40 + 40 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ \underline{ \underline{ x = 100}}[/tex]

The 3rd angle is 100°.

So, the 3 angles in the isosceles triangle are ⇨ 40°, 40° & 100°.

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Picture credits :- https://www.twinkl.com.mx/teaching-wiki/isosceles-triangle

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Hope it'll help you!

ℓu¢αzz ッ

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HayabusaBrainly

>> Answer

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[tex] \: [/tex]

40° + 40° + x = 180°

40° × 2 + x = 180°

80° + x = 180°

x = 180° - 80°

x = 100°

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