Question

In an isosceles triangle, if one pair of base angles is twice the measure of the second pair of base angles, what are the measures of the angles?

Answer 1

There are three angles in a triangle. I don't understand how a pair (2) can measure twice another pair. Almost sounds like 4 angles??

Since it is an isosceles triangle, two of the angles are equal so assuming the remaining angle is twice the measure of those pair, and knowing that the sum is 180 degrees:
let x = measure of each equal angle
let 2x = remainiing angle we can say
x + x + 2x= 180 degrees
4x=180 degrees
x=45 degrees
2x = 90 degrees, the angles are 45 and 45 and 90 degrees

Answer 2

Oh, what about an isosceles trapezoid? The questions are flip flopped.

Answer 3

Then we could say:
x + x + 2x + 2x = 360 degrees
6x =360 degrees
x= 60 degrees
2x=120 degrees
One pair is 60 degrees each
The other pair are120 degrees each.

Answer 4

Do you know the properties of an isosceles triangle?

Answer 5

Oh do you mind drawing a quick sketch? I'm so sorry for asking so many questions!

Answer 6

Two sides are equal to each other, two angles are equal to each other other than that the sum of the angles are 180 degrees.