Question

Need help with this math problem

Answer 1

`x=16`

Lenght of the equal sides:
`71\ units`

Explanation:

You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.

By definition, Isosceles triangles have two equal angles and two equal sides.

Based on this, you can write the following equation:

`9x-73=3x+23`

Solving for "x", you get this value:

`9x-3x=23+73\\\\6x=96\\\\x=(96)/(6)\\\\x=16`

Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:

`3(16)+23=71\ units`