Question

In the given figure, POS is a line, then ∠QOR is

a) 60°
b) 40°
c) 80°
d) 20°




please give me the correct answer
​

Answer 1

Answer:

Here, The value of angle(QOR) is 80°

Step-by-step explanation:

Here, As per our given question,

As POS is a line,

=55°+5x-20°+45°=180° (Sum of all angles on a line is 180°)

=5x+80°=180°

=5x=180°-80°

=5x=100°

=x=100°/5

=x=20°

Now, The required angle =5×20°-20°

=100°-20°

=80°

So, here the value of angle(QOR)=80°.

Thank you.

Answer 2

Given : POS is a line

∠POQ = 55°

∠QOR = 5x-20°

∠ROS = 45°

To Find : ∠QOR  

a) 60°

b) 40°

c) 80°

d) 20°

Solution:

POS is a line

=> ∠POQ + ∠QOR + ∠ROS = 180°

=> 55° +  ∠QOR+ 45°  = 180°

=> ∠QOR  + 100°  = 180°

=> ∠QOR  = 180° - 100°

=> ∠QOR  =  80°

∠QOR is 80°

Correct option is c) 80°

Additional Info :

∠QOR = 5x-20°

=>  5x-20° = 80°

=> 5x = 100°

=> x= 20°

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