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7. Kim knows that one angle of an isosceles triangle is 48°.

He says that one of the other angles must be 66°. Is Kim correct?
If yes explain why?

User Kkemple
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1 Answer

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Answer: " Yes; Kim is correct."

Explanation: [refer to the end of this "answer"].

Note: Any "triangle" has 3 sides and 3 angles.

An isosceles triangle has 2 (angles) with the exact same measurements.

We are given the following information:

We have an isosceles angle:
with one of the angles = 48°
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Does this mean that one of the angles must be: 66 ° ?

If so; then: either:
48 + 66 + 48 = 180 ?
or: 48 + 66 + 66 = 180 ?

1) First: Start with 48 + 66 + 48 180 ?

(48 + 66 + 48) 180 ? ; 162 180? No; " 162 < 180 " .

2) Second
: Try: "48 + 66 + 66 = 180 " .

(48 + 66 + 66) 180 ? ; 180 180 ? ; Yes! "180 = 180".
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So: Kim is correct; because isosceles triangles must have angles with 2 (two) equal measurements. Note that all triangles have angles that add up to 180° .
So: As shown above:
If one angle of the triangle is 48°; then: **each** of the other angle measurements must be 66°.
So: Yes; Kim is correct when he says that one of the other angles must be 66°.
(48 + 66 + 48) 180 ? ; 162 ≟. 180? No; " 162 < 180 " .
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Hope this is helpful to you! Wishing you well!

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User Edwyn
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