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
