Question

In the figure P:Q:R=2:3:4.If AOB Is a straight line find values of PQR​

Answer 1

Answer:

p=40°, q=60°, r=80°

Step-by-step explanation:

p=40°, q=60°, r=80°

Step-by-step explanation:

let the ratio continuous be x

then,

2x,3x,4x

A/Q.

2x+3x+4x=180°(linear pair)

9x=180°

x=180/9

x=20°

now, 2x=2×20=40°

3x=3×20=60°

4x=4×20=80°

hence, p=40°,q=60°,r=80°

HOPE IT HELPS YOU

Answer 2

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Given :-

P = 2x

Q = 3x

R = 4x

AOB is a straight line = 180°

Find :-

The value of PQR

Solution :-

P + Q + R = AOB

$2x + 3x + 4x = 180 \\ 9x = 180 \\ x = \frac{180}{9} \\ x = 20$

Hence :-

P = 2x = 2×20 = 40°

Q = 3x = 3×20 = 60°

R = 4x = 4×20 = 80°