isaiahford2016
Answered

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Find the value of x and y

Find The Value Of X And Y class=

Sagot :

SpiritInly

Answer:

x=6

y=128

Step-by-step explanation:

in my diagram shown in red the angles are corresponding. This means they are equal. Equate them both in an equation:

[tex]7x + 4 = 5x + 16[/tex]

subtract 5x on both sides

[tex]7x - 5x + 4 = 16[/tex]

subtract 4 on both sides

[tex]7x - 5x = 16 - 4[/tex]

collect like terms

[tex]2x = 12[/tex]

divide 2 on both sides giving

[tex]x = 6[/tex]

substitute x=6 into any of the equations 5x+16 or 7x+4 since both of them are the same. I'll use 5x+16

5(6)+16=46 degrees

since opposite angles are equal the angle is 46 degrees shown in green on my drawing

to work out y interior angles are equal to 180: equate 46 and y+6 to 180:

[tex]46 + y + 6 = 180[/tex]

subtract 6 and 46 on both sides

[tex]y = 180 - 46 - 6[/tex]

[tex]y = 128[/tex]

so y is 128

View image SpiritInly
Answer
Y is 128
X is 6
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