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Daniel [21]
3 years ago
10

Use the figures to answer questions 1 and 2 . questions in pictures

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

The answer is x=67

Step-by-step explanation:

In the given figure line k and l are parallel

and t cuts it as the transverse line

Here the given angles are external alternate angles

i.e. When two parallel lines are cut by a transverse line

alternate angles are equal may it be internal or external

IIn fig1 =153

In fig2 =124

In fig3 =87

So in fig 4

x=67 [ External alternate angles are equal]

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Find the value of y.<br><br> 4<br> 5<br> 7<br> 2
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Angles (7x+17)° and (5x-5)° are consecutive interior angles, that means they add up to 180<span>°. 
So we can make an equation to solve for x, which eventually will help us solve for y. 
     180</span> = (7x+17) + (5x -5)

     re arrange that:
     180 = 7x + 5x + 17 - 5

     180 = 12x + 12
     - 12           -12

    168 = <span>12 x
</span>       12    12

      14 = x

Now we will plug it into (5x - 5) to help us solve for y,
Angle (5x - 5) and (23y) are supplementary angles, meaning they equal to 180°. 
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        180 = (23y) + (70 - 5)

        180 = 23y + 65
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        <u>115</u> = <u>23y</u>
          23    23
     
        ___ = y

Good luck!







</span>
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