Question

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

Answer 1

Answer:

$\huge\boxed{3 = 57 \textdegree}$

$\huge\boxed{4 = 33 \textdegree}$

Step-by-step explanation:

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

Therefore, we can make the equation

$(x+24) + (x) = 90$

Now we can solve for x.

• $2x+24=90$
• $2x=66$
• $x = 33$

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, $x+24$. Since we know x is 33, we can substitute it into the expression.

$33+24\\\\57$

Hope this helped!