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3 years ago

14

1.7 In the following diagram, angle 7 equals 61°.

2 answers:

gladu [14]3 years ago

7 0

1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=

1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==

1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)

Zepler [3.9K]3 years ago

4 0

1.7 ) 180-61 = 119
1.8 ) 180 -38 = 142
1.9 ) 5
1.10) 8
1.11) 1
1.12 ) 4

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Lunna [17]

Let's see what to do buddy...

_________________________________

Step (1)

We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :

$(n - 2) \times 180$

Our figure has 5 sides ;

So , sume the interior angles of it equals :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

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Step (2)

First look at the photo which I post.

According it we have :

$(180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\$

$2x - x + 475 - 10 = 540$

$x + 465 = 540$

Subtract the sides of the equation minus 465 :

$x = 540 - 465$

$x = 75$

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And we're done.

Thanks for watching buddy good luck.

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Svetlanka [38]

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