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avatar+1481 

In the following regular hexagon, which is 3m + n?
 

A. 155 degrees

B. 162 degrees

C. 158 degrees

D. 125 degrees

 

 

 

 

 

In trapezoid STUV, SW is an altitude. Which measure is equivalent to the measure of angle m + n + p if the measure of Angle VSW is 55 degrees?

 

 

 

A. 270 degrees

 

 

B. 320 degrees

 

 

C. 250 degrees

 

 

D. 215 degrees

 Jan 15, 2020
 #1
avatar+107405 
+3

In a regular hexagon,  a vertex  angle  =  120°

 

So

 

3m + 40  = 120                       2n - 30  =  120                    

3m =  80                                 2n  =  150

                                                 n  = 75

 

So

 

3m  +  n   =

 

80   +  75  =

 

155°

 

cool cool cool

 Jan 15, 2020
 #2
avatar+107405 
+3

Second one

 

Since SW is an altitude....then angles TSW and USW  sum to   180 °

 

And since STUW is a quadrilateral....then....

 

n + p  = 180°

 

m =  90  - 55   = 35°

 

So

 

m + n + p   =

 

35  +  180  =

 

215°

 

 

cool cool cool

 Jan 15, 2020

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