Answer: The measure of the missing angle is 115∘.
Step-by-step explanation: To find missing interior angles, you have to add the two angles that are known and see how much they add up. The work is done below:
40∘ + 75∘ = 115∘.
In order to find out the missing interior angle, we have to subtract 115∘ from 180∘ to find that angle:
180∘ - 115∘ = 65∘, which is the missing angle that is inside the triangle.
Now, you're probably wondering how any of this has to do with finding the angle that has a ? on it. Well, us finding the missing interior angle inside of the triangle is what's going to help us find that angle with a ? on it. To find that angle, you need to subtract 65∘ from 180∘ to find the angle that you need:
180∘ - 65∘ = 115∘.
Therefore, 115∘ is your answer.
Let me know if this is right! :)