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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?

Respuesta :

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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