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Which equations demonstrate how to solve for x, and what is the value of x?

a The equation 52 + 90 + x = 180 deomnstrates one way to solve for y, and y = 38 degrees. Since x + y = 180, then x = 142 degrees.
b The equation 52 + 90 + x = 90 deomnstrates one way to solve for y, and y = 52 degrees. Since x + y = 180, then x = 128 degrees.
c The equation 52 + 90 + x = 180 deomnstrates one way to solve for x, and x = 38 degrees.
d The equation 52 + 90 + x = 90 deomnstrates one way to solve for x, and x = 52 degrees.

Which equations demonstrate how to solve for x and what is the value of x a The equation 52 90 x 180 deomnstrates one way to solve for y and y 38 degrees Since class=

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Answer:

A

Step-by-step explanation:

  1. The first step is to find y
  2. All triangles have interior angles that add together to measure 180 degrees
  3. Since we know this you can subtract the known angle values (90 and 52) from 180
  4. 180-52-90= 38
  5. 38 is your y
  6. x is an exterior angle so y+x also equals 180
  7. in order to find x just take your y value and subtract it from 180
  8. 180-38=142

The equation 52 + 90 + x = 180 deomnstrates one way to solve for y,

and y = 38 degrees. Since x + y = 180, then x = 142 degrees.

Calculation to find out angles :

the sum of interior angles in a triangle is always 180 degrees

Add all the interior angles and make it equal to 180 degrees

[tex]90+52+y=180\\142+y=180\\[/tex]

Subtract 142 from both sides

y=38 degrees

angle y is 38 degrees

Angles y  and x  are linear pair of angles , the sum of linear pair is 180 degrees

[tex]y+x=180\\38+x=180[/tex]

Subtract 38 from both sides

x=142 degrees

The equation 52 + 90 + x = 180 deomnstrates one way to solve for y, and y = 38 degrees. Since x + y = 180, then x = 142 degrees.

Learn more information about 'Angles in a triangle ' here

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