Answer:
67 degrees
Explanation:
First, we need to know that when two lines intercept, opposite angles are called vertical angles and are congruent (meaning that they have the same value) to each other. So we can write the equation x+16=4x-5. Add 5 on both sides to get x+21+4x. Then subtract x on both sides for 21=3x. Finally, divide by 3 to get x=7. Now substitute 7 into either x+16 or 4x-5 to find the measure of that angle. We see that 7+16 is 23, and so is 4(7)-5. Lastly, Subtract 23 from 180 as A and x+16 or 4x-5 are supplementary angles to find that angle A is 157 degrees.
Hope this helps!