Question

the given figure shows a pentagon PQRST where PQ || RS . The measure of P , T , S angles are equal . find measure of these three angle.​

Answer 1

Answer:

pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5. Which of the lengths 5, 10, and 15 could be the value of PT ?

(A) 5 only

(B) 15 only

(C) 5 and 10 only

(D) 10 and 15 only

(E) 5, 10, and 15

The length of any side of a triangle must smaller than the sum of the other two sides.

The same for pentagon: the length of any side of a pentagon must be smaller than the sum of the other four sides.

PQ + QR + RS + ST = 3 + 2 + 4 + 5 = 14, so the length of the fifths side can not be more than 14.