Find the complementary and supplementary angles. 40^circ 42'45'' The complementary angle is 49^circ 17'square ''

To find the complementary angle, we need to subtract the given angle from $90^{\circ}$.<br /><br />Given angle: $40^{\circ}42'45''$<br /><br />Step 1: Convert the given angle to degrees.<br />$40^{\circ}42'45'' = 40 + \frac{42}{60} + \frac{45}{3600} = 40.7125^{\circ}$<br /><br />Step 2: Calculate the complementary angle.<br />Complementary angle = $90^{\circ} - 40.7125^{\circ} = 49.2875^{\circ}$<br /><br />Step 3: Convert the complementary angle back to degrees, minutes, and seconds.<br />$49.2875^{\circ} = 49^{\circ}17'30''$<br /><br />Therefore, the complementary angle is $49^{\circ}17'30''$.