I need help with this problem please!

Question

Find a complementary angle to 5pi/13 rad. (Enter answer as a fraction)

Answer 1

You should already know that complementary angles add up to pi/2, so just solve the equation

x + 5pi/13 = pi/2

Answer 2

Complementary means that the two angles should add to 90° which is π/2 in radians.

5π/13 + x = π/2

x = π/2 - 5π/13 get a common denominator of 26

x = 13π/26 - 10π/26 = 3π/26