Answer:
m angle BCA =48 degrees
m angle ABC =70 degrees
m angle BAC=62 degrees
m angle BCD=132 degrees
Step-by-step explanation:
First you know that both interior angles have to equal the exterior angles (sorry I forgot what the name of the property). This means that the equation will be 6x-8+4x+10=12x-24. Simplify this to get 10x-2=12x-24. Simplify again to get 2x=26. Divide each side by 2 to get x=13. Now that you know x is equal to 13, you should plug x into angle ABC, BAC, and BCD. When you finish, angle ABC should be 70 degrees, angle BAC should be 62, and BCD should be 132. To find angle BCA, you know that angle ABC is 70 degrees and BAC is 62 degrees. Every triangle has to equal 180 degrees so the equation should be 180-70-62 which is equal to 48. Therefore, m angle BCA =48 degrees, m angle ABC =70 degrees, m angle BAC=62 degrees, and m angle BCD=132 degrees. With this you can mark the correct choices.
Hope this helps you
