Question

the vertex angle of an isosceles triangle measures 15 degrees more than one of its base angles. How many degrees are there in a base angle of the triangle?

Answer 1

We know that all the angles of a triangle add up to 180 degrees.
And in an isosceles triangle, the two base angles have the same measure so that can be represented by 2x.
We're given that the vertex angle is 15 degrees more than the measure of a base angle, so that can be represented by x + 15.
Therefore, to find the measure of the base angles, we can use this equation:
2x + x + 15 = 180
What do you get for x when you solve it? :)

Answer 2

x=55
thank you so much

Answer 3

Correct! Yw:)