Answer: The measure of smaller angle is 39°
Step-by-step explanation:
Complementary angles are those two angles whose sum is 90°,
Let x degree be the measure of the larger angle,
Then the measure of smaller angle = ( x - 12 ) degree,
Since, x and ( x - 12 ) are complements,
By the above property,
x + x - 12° = 90°
2x - 12° = 90°
2x = 102° ⇒ x = 51°,
⇒ The measure of the smaller angle = x - 12° = 51° - 12° = 39°
