stevengerrie123 stevengerrie123
  • 17-12-2021
  • Mathematics
contestada

An obtuse isosceles triangle contains an angle that measures 162°.
What is the measure of another interior angle within this triangle?

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reinhard10158
reinhard10158 reinhard10158
  • 17-12-2021

Step-by-step explanation:

the sum of all angles in any triangle is always 180°.

and an isosceles triangle has 2 equal sides and as such also 2 equal angles.

the 162° Antje cannot be one of them, because 2×162 is way bigger than 180.

so, that means the other 2 angles must be equal. and again, all 3 together must be 180°

180 = 162 + 2×angle

2×angle = 18

angle = 9°

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