An isosceles triangle is a triangle that has two sides of equal length. In this exercise, we see small lines on two of the sides. This means that those sides are equal.
Equalize the expressions:
Add 23 to both sides of the equation:
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Substract 4x from both sides:
6x - 4x = 4x - 4x + 32
2x = 32
Finally, divide both sides by 2:
[tex]\mathsf{\dfrac{2x}{2} = \dfrac{32}{2}}[/tex]
[tex]\large{\boxed{\mathsf{x = 16}}}[/tex]
Now, let's find the measures of the angles:
Remember: The sum of the three angles of any triangle is equal to 180 degrees. Let's find the measure of the angle Y:
73° + 73° + Y = 180°
146° + Y = 180°
Y = 180° - 146°
Y = 34°
