Question

the measures of two angles of an isosceles triangle are $3x 4^{\circ}$ and $x 16^{\circ}$. find all possible values of $x$.

Answer 1

To find the possible values of x in an isosceles triangle, we set up an equation by using the fact that the sum of the angles of a triangle is always 180 degrees. Solving the equation, we find that x = 40.

Step-by-step explanation:

To find the possible values of x, we need to use the fact that the sum of the angles of a triangle is always 180 degrees. In an isosceles triangle, the base angles are equal. So, we can set up an equation:

3x + 4 + x + 16 = 180

Combining like terms, we get:

4x + 20 = 180

Subtracting 20 from both sides, we get:

4x = 160

Dividing both sides by 4, we get:

x = 40

Therefore, the possible value of x is 40.