an isosceles triangle is such that the vertical angle is four times the size of a base angle.what is the size of a base angle

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  1. The sum of the angles of a triangle is 180 degrees. Yours is an isosceles triangle, and the vertical angle is four times the size of a base angle - so you've got two base angles, plus four more base angles in the vertical angle. That's six base angles in total, which means that each base angle must be 30 degrees. Check it: the vertical angle is four times a base angle, so the vertical angle is 120 degrees. 120 + 30 + 30 = 180.

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  2. four angles are put together, forming a straight angle. two of the angles are the same size. the other two angles are also the same size but different from the other two. If one of the angles is 40 degrees, what are the measures of the other three? please explain

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