Answer: x = 16 and the measure of angle is 59°.
Step-by-step explanation:
Complementary angles add up to 90 degrees. Meaning that, if you add the two angles together and add them to equal 90 you can solve for x.
(x + 15) + (3x + 11) = 90 First combine like terms.
4x + 26 = 90 Subtract 26 from both sides.
-26 -26
4x = 64
x = 16
If x is equal to 16, then we can find the measure of angle N by inputting the value of x into the expression for the measure of angle N.
m∠N = 3(16) + 11
m∠N = 48 + 11
m∠N = 59
