An angle measures 51 , what is the measure of its complement

complement of 51 is 39

supplement of 54 is 126

Step-by-step explanation:

Complementary angles add to 90 degrees

51 + c = 90

Subtract 51 from each side

51-51 + c = 90-51

c = 39

The complement is 31

Supplementary  angles add to 180 degrees

54 + s = 180

Subtract 54 from each side

54-54 + s = 180-54

s = 126

The supplement is 126

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

answer: the answer is fre sha voca do

step-by-step explanation: