If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

Now we can solve for x.

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, . Since we know x is 33, we can substitute it into the expression.

Hope this helped!

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.