(a) An angle measures 41^circ What is the measure of its complement? (b) An angle measures 148^circ What is the measure of its supplement? measure of the complement: prod ^circ measure of the supplement: square ^circ

(a) The complement of an angle is defined as the difference between $90^{\circ}$ and the given angle. Therefore, to find the complement of $41^{\circ}$, we subtract $41^{\circ}$ from $90^{\circ}$:<br /><br />$90^{\circ} - 41^{\circ} = 49^{\circ}$<br /><br />So, the measure of the complement is $49^{\circ}$.<br /><br />(b) The supplement of an angle is defined as the difference between $180^{\circ}$ and the given angle. Therefore, to find the supplement of $148^{\circ}$, we subtract $148^{\circ}$ from $180^{\circ}$:<br /><br />$180^{\circ} - 148^{\circ} = 32^{\circ}$<br /><br />So, the measure of the supplement is $32^{\circ}$.<br /><br />Therefore, the measure of the complement is $49^{\circ}$ and the measure of the supplement is $32^{\circ}$.