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In parallelogram  PQRS, the measure of angle P  is five times the measure of angle  Q. What is the measure of angle R , in degrees?

 Nov 27, 2018
 #1
avatar+20217 
0

Sum of angles in a parallelogram = 360 degrees

 

Opposite angles are =    so p = r

   and  P = 5Q

All of the angles added together = 360 degrees

 

5Q +Q   +  5Q + Q = 360    Solve for Q

12Q = 360     Q = 30 degrees

 

then P = 5Q = 5(30) = 150 degrees        and   P = R     so R = 150 degrees

 Nov 27, 2018
 #2
avatar+107348 
+1

Consecutive angles of a parallelogram sum to 180°

 

Let  P  = 5Q

 

So

 

5Q + Q  = 180°

6Q = 180

Q = 30°

 

So P = 5Q  = 5(30)  = 150°

 

And opposite angles are equal....so......P = R = 150°

 

 

cool cool cool

 Nov 27, 2018

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