juliamcordeiro juliamcordeiro
  • 15-08-2016
  • Mathematics
contestada

In an isosceles triangle, if a base angle has a measure of 43 degrees, then the vertex angle must have a measure of 80 degrees as well. True Or false?

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skyp
skyp skyp
  • 15-08-2016
False because the interior angles of any triangle needs to add up to 180°. In an isoceles triangle, the base angles of the triangle are equal so 43° + 43° = 86°. If the vertex angle is 80° then the total is 166°. This doesn't meet 180°, so the vertex angle must be 94° if the base angles are 43°. If the vertex angle must be 80°, then the base angles have to be 50°.
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