Question

If the measurement of one of the corners of an isosceles triangle base twice measuring the angle of his head, what measure the angle of the head?

Answer 1

The answer is 36 degrees

Explanation:

Lets call the variables X= Base Angle and Y= Vertix Angle and X=2Y

As Isosceles triangle theorem "If two sides of a triangle are congruent, then the angles opposite those sides are congruent" We asume that the X value of each base angle is the same and the sum of the three angles are equal to 180 degrees, so we have:

1)X+Y+X=180

2) We know that X=2Y so we replace them in the below formula

3) 2Y+Y+2Y=180

4) 5Y=180

5) Then we resolve the variable Y and divide the 180 degrees by 5 Y=180/5

6)Then we have that Y=36 Degrees

Please see attachment to follow up the step by step

I hope that this answer finds you well