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AURORKA [14]
2 years ago
9

HELP ASAP PLS GIVE EXPLANATION/STATEMENT AND REASON FORM

Mathematics
2 answers:
motikmotik2 years ago
7 0
<h3>Answer:  x = 155</h3>

Explanation:

Glue the two right triangles together to form one larger triangle.

The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.

The angle adjacent to x is 180-x

The larger triangle has the interior angles of:

  • 35
  • 120
  • 180-x

Those three angles add to 180 (which is true of any triangle)

35+120+180-x = 180

335-x = 180

-x = 180-335

-x = -155

x = 155

Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).

umka2103 [35]2 years ago
6 0

<u>Answer:</u>

  • The value of x is 155.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • 35 + 90 + a = 180
  • 90 + (180 - x) + (180 - a - 60) = 180

<u>Let's first simplify the first equation.</u>

  • => 35 + 90 + a = 180
  • => 125 + a = 180
  • => a = 180 - 125
  • => a = 55

<u>With the help of the 'a' value, let's find the value of x using the second equation.</u>

  • => 90 + (180 - x) + (180 - a - 60) = 180
  • => 90 + (180 - x) + (180 - 55 - 60) = 180
  • => 90 + (180 - x) + (125 - 60) = 180
  • => 90 + (180 - x) + 65 = 180
  • => 155 + 180 - x = 180
  • => 335 - x = 180
  • => 335 - 180 = x
  • => \hug\boxed{x = 155}

Hence, <u>the value of x is 155.</u>

Hoped this helped.

BrainiacUser1357

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timurjin [86]

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Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

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