Question

Measure of angles of OPQRS are in the ratio 2:4:5:7. Show that IPQRS is a
trapezium

Answer 1

Step-by-step explanation:

PQRS=2:4:5:7

LET P BE 2X

THEREFORE,

Q=4X,R=5X,S=7X.

THEREFORE,

P+Q+R+S=180

2X+4X+5X+7X=180

18X=180

X=10

THEREFORE,

P=20,Q=40,R=50,S=70

SINCE ALL ANGLES ARE OF DIFFERENT MEASURES THEREFORE IT IS A TRAPEZIUM.