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Hopediamond1026 Hopediamond1026
  • 26-01-2016
  • Mathematics
Answered

The measure of the obtuse angle in the isosceles triangle is two and a half times the measure of one base angle. Write and solve a system of linear equations to find the measures of all the angles.

Verified Answer :

kmatras1
kmatras1 kmatras1
  • 25-02-2017

Let the base angle be x. If the obtuse angle is two and a half times the base angle, it will be 2.5x. In a triangle, all three angles will add up to 180. The third angle, the other base angle will be equal to x. So the equation will be:

x + x + 2.5x = 180
2x + 2.5x = 180
4.5x = 180
x = 40

If x = 40, then 2.5x = 100

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