Question

Help please! Each base angle of an isosceles triangle is 30 more than twice the measure of the vertex angle. What is the measure of the vertex angle?

Answer 1

2(30+2x) + x = 180
60+4x+x=180
5x=120
x=24 vertex angle = 24

Answer 2

thank you :)

Answer 3

Hint: isosceles means the base angles are equal. The sum of the measures of the three angles is 180 degrees so the formula for the angles is:

x + y + z = 180

where x, y, and z are angles

since it is isosceles.. x= y

your base angle is given to be 30 + 2z where z is the vertex angle

so x = y = 30 + 2z

(30 + 2z) + (30 + 2z) + z = 180

Answer 4

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