Question

Two complementary angles have a difference

of 38 degrees. Find the angles.

Answer 1

64° & 26°

Explanation:

Let angle1 = x

angle 2 = y

since both angles form complementary angle → x + y = 90° ... [1]

difference of both angles is 38° → x - y = 38° ... [2]

[1] + [2]

x + y = 90°

x - y = 38°

--------------- (+)

2x = 128°

x = 64°

[1]

x + y = 90°

64° + y = 90°

y = 90° - 64°

y = 26°