3times the measure of an angle is 14 less than the measure of its complement. what is the measure of the angle? a. 19° b. 57° c. 71° d. 78°

Typical story problem where you have to take the written words and put them into some sort of usable equation.  "3 times the measure of an angle is" looks like this in equation form: 3x = , where x is the measure of the angle and the word :"is" means equals.  A complement is 90 - the measure of the angle, so 90 - x, and 14 less than that indicates we are subtracting 14 from that complement.  In the end, the equation is this: 3x = (90 - x) - 14; 3x = 76 - x; 4x = 76 and of course x = 19.  These darn story problems...

The lateral side of a triangular pyramid is a triangle. in order to increase the lateral surface area, the slant height and the height should be altered