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In pentagon PQRST, angle P = 60 and angle Q = 130. Angle S and T are each 3 times as large as angle R. What are the measures of angle S, T, and R? Which 2 sides of the pentagon are parallel?

 Jan 13, 2016

Best Answer 

 #1
avatar+128475 
+10

The sum of the interior angles of a pentagon  = 540°

 

Call the measure of angle R , x     ..... so S and T  measure 3x each  .....and we have

 

60 + 130 + x + 2 * 3x  = 540

 

190 + 7x = 540     subtract 190 from both sides

 

7x =  350     divide by 7

 

x = 50°  = R

 

And S,T measure 3x  = 150°

 

[Sorry.....I do not know how to determine the parallel sides......!!!   ]

 

 

cool cool cool

 Jan 13, 2016
 #1
avatar+128475 
+10
Best Answer

The sum of the interior angles of a pentagon  = 540°

 

Call the measure of angle R , x     ..... so S and T  measure 3x each  .....and we have

 

60 + 130 + x + 2 * 3x  = 540

 

190 + 7x = 540     subtract 190 from both sides

 

7x =  350     divide by 7

 

x = 50°  = R

 

And S,T measure 3x  = 150°

 

[Sorry.....I do not know how to determine the parallel sides......!!!   ]

 

 

cool cool cool

CPhill Jan 13, 2016

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