Respuesta :

Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

  • w + x + y = 180
  • w + x + y = 180y + z = w + x + y
  • w + x + y = 180y + z = w + x + yw + x = z

What is an Equation?

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

  • w + x + y = 180
  • w + x + y = 180y + z = w + x + y
  • w + x + y = 180y + z = w + x + yw + x = z

Learn more about Equation here -

https://brainly.com/question/13763238

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