+0

0
40
7

In the figure, line m is parallel to line n.

1) Find m

2) Name the postulates and/or theorems you used in finding your answer to Part 1. Explain each postulate or theorem.

Guest Jan 8, 2018
edited by Guest  Jan 8, 2018
Sort:

#1
+80978
+2

I think we want to find x, not m

Angle CDG  =  Angle JDE    { vertical angles}

Angle JDE  =  Angle HCD    {corresponding angles }

Thus

Angle CDG  = Angle HCD   { substitution }

So

5x  -  5   =   3x  +   13       add 5 to both sides, subtract 3x from both sides

2x   =  18            divide both sides by 2

x  =  9

CPhill  Jan 8, 2018
#2
0

Oh! I'm sorry, I meant to put m

Guest Jan 8, 2018
#3
+5924
0

You meant to put  m  or you meant to put  x  ?

hectictar  Jan 8, 2018
#4
0

M should be m < BCH

Guest Jan 9, 2018
edited by Guest  Jan 9, 2018
#5
+5924
+1

Notice that  ∠BCH  and  ∠HCD  form a straight line, so they must add to  180° .

∠BCH  +  ∠HCD   =   180°

And...

m∠HCD  =  (3x + 13)°        CPhill already found that  x = 9 , so that means

m∠HCD  =  (3(9) + 13)°

m∠HCD  =  (27 + 13)°

m∠HCD  =  40°

So.....remember...

∠BCH  +  ∠HCD   =   180°

∠BCH  +     40°     =   180°

Can you finish it from here?

hectictar  Jan 9, 2018
#6
+2

BCH would be 140? :) I imagine you find that by subtracting 40 from both sides, so 180 - 40 = 140

Guest Jan 9, 2018
#7
+1602
+2

Precisely!

TheXSquaredFactor  Jan 9, 2018

### 22 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details