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Find the measure of each marked angle. Assume the lines are parallel.

 

Two parallel lines that rise from left to right intersect a horizontal line, each forming four angles. Where the line on the left intersects the horizontal line, the top right angle measures

(x plus 1) degrees.

 

Where the line on the right intersects the horizontal line, the top left angle measures

(4x minus 56) degrees.

left parenthesis x plus 1 right parenthesis degrees(x+1)°

left parenthesis 4 x minus 56 right parenthesis degrees(4x−56)°

xplus+1equals=nothingdegrees°

4xminus−56equals=nothingdegrees°

 

​(Simplify your answers. Type an integer or a​ fraction.)

slim22  Nov 29, 2017
edited by slim22  Nov 29, 2017
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If i read this correctly.....one angle measures  ( x + 1)°  and the other measures (4x - 56)°

 

These two angles will sum to 180°

 

So we have

 

( x + 1 )  + ( 4x  - 56)  = 180     simplify

 

5x- 55   =  180       add  55 to both sides

 

5x  =  235         divide both sides by 5

 

x  = 47

 

So...one angle measures   (47 + 1)  = 48°

And the other measures  (4 (47) - 56 )   =  ( 188 - 56)  =  132°

 

 

cool cool cool

CPhill  Nov 29, 2017

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