Atriangle has angle measures of 45 degrees and 90 degrees. how many possible triangles can be drawn with these measures?

also

a triangle has angle measures of 67 degrees and 27 degrees. how many possible triangles can be drawn with these measures?

explain

There is a rule, that says:

sum of angle measures is always equal to 180 degrees.

thats why:

1) total degrees =180 = 45 + 90 + x

so x = 180 - 45 - 90= 45 degrees

the answer is that you can have unlimited number of triangles with those measures (different lengths of sided of triangles, but third angle has to have 45 degrees)

2) 180 = 67 + 27 + x

x = 180 - 67 - 27 = 86 degrees

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

copyright potato 2019.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6