To solve this problem you must apply the proccedure shown below:
1. As you can see in the figure attached, the angle A and the angle B are congruent, which means that both has the same value.
2. Keeping ths on mind you have:
![10x+24=6x+72](https://img.qammunity.org/2019/formulas/mathematics/middle-school/y02cv74sdmfoyp0rv1tyg38aetp7il2zv7.png)
3. Now, you cam solve for x:
![10x-6x=72-24 \\ 4x=48 \\ x=12](https://img.qammunity.org/2019/formulas/mathematics/middle-school/mexx55cas9gpo6ozuhd1a9qpnbvve08m0k.png)
4. When you susbtitute the value of x into the equation to calculate the angle A, you obtain:
The answer is:
![144 degrees](https://img.qammunity.org/2019/formulas/mathematics/middle-school/agt409pww97fhklk8wnwg7bexwni5yd5u7.png)