Answer: The length of BC is 22 units.
Step-by-step explanation:
It is given that the Triangle ABC with horizontal side BC. Vertex A lies above side BC. Angle B and angle C are marked congruent. The length of side AC is labeled as 2x-24. The length of side AB is labeled as x-2. The length of side B C is labeled as x.
If two angles of a triangle are same it means the triangle is an isosceles triangle.
Since the angle B and C are congruent therefore the lines AB and AC are same.
![2x-24=x-2](https://img.qammunity.org/2019/formulas/mathematics/high-school/o0rpv7rr8lenf3ue3k0vdg3oo3j9u4y08q.png)
![2x-x=-2+24](https://img.qammunity.org/2019/formulas/mathematics/high-school/bovvggkrsyg862a2td2hxaulg7vyfileow.png)
![x=22](https://img.qammunity.org/2019/formulas/mathematics/middle-school/iwfyx1p9qehyb3535gfs55geg8ijd9h45u.png)
Since the side BC=x therefore the measure of BC is 22 units.