We know that a triangle with three congruent angles is equiangular. This means that the sides of the given triangle must also be congruent, so the side lengths are equal. We can equate both expressions and use the obtained equality to find x.
2x+11=6x-9
Let's solve this equation for x by adding 9 on both sides of the equality.
Let's learn a bit more about the different topics shown in this solution. We saw that the sides lengths have the same length, this type of segments are said to be congruent segments. In a diagram, congruent segments are usually indicated by the same number of hatch marks, or ticks.
To express algebraically that two segments are congruent, the symbol ≅ is used. Similarly, Angles that have the same measure are said to be congruent angles. In a diagram, congruent angles are usually indicated by the same number of angle markers.
