Question

If triangle PQR ~ triangle TSM, P = 55°, S = 25°, PQ = 7 cm, QR = 9 cm, TS = 21 cm, MT = 24 cm.
Find the difference of remaining two sides of triangles. Also find remaining angles of both
triangles.​

Answer 1

Answer:

difference is 19 and remaining angle is 100 degrees

Step-by-step explanation:

in similarity AAA rule works so

by angle sum property of triangle

180 - (55+25) = 100

and then comparing PQ and ST side is increasing by factor of 3.

so find out the corresponding sides by multiplying or dividing where necessary you will get

PR = 8 and

SM = 27

27-8 = 19