Recall that two angles are complementary if the sum of their measures is 90 degreesâ°. find the measures of two complementary angles if one angle is 18 degreesâ° more than threethree times the other angle.

18° and 72°

Step-by-step explanation:

let x be the measure of one angle then the other is 3x + 18

The sum of the 2 complementary angles = 90°, hence

x + 3x + 18 = 90

4x + 18 = 90 ( subtract 18 from both sides )

4x = 72 ( divide both sides by 4 )

x = 18

the 2 angles are 18° and (3 × 18 ) + 18 = 72°

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4