Answered

Find answers to your most challenging questions with the help of IDNLearn.com's experts. Our platform is designed to provide quick and accurate answers to any questions you may have.

If the given figure find the value of x, y and z.

I m giving you thirty pts please give me correct answer.​

If The Given Figure Find The Value Of X Y And ZI M Giving You Thirty Pts Please Give Me Correct Answer class=

Sagot :

SalmonWorldTopperidn

[tex]\large\underline{\sf{Explanation-}}[/tex]

Given that

HOPE is a parallelogram.

It means,

  • OH || FE and HE || PO

Now, HE || PO & HP is transversal.

  • So, "y" = 40 ° [ alternate interior angles ]

Now, In triangle HOP

We know, Exterior angle of a triangle is equals to sum of interior opposite angles.

  • So, y + z = 70°

It means, 40° + z = 70°

[tex]\longmapsto[/tex]"z" = 70° - 40° = 30°.

Now, OH || FE & HE is transversal.

So, we know, sum of Adjacent angles of a parallelogram is supplementary.

[tex]\rm \longmapsto\:z + 40\degree + x = 180 \degree[/tex]

[tex]\rm \longmapsto\:30\degree + 40\degree + x = 180 \degree[/tex]

[tex]\rm \longmapsto\:70\degree + x = 180 \degree[/tex]

[tex]\rm \longmapsto\:x = 180 \degree - 70\degree[/tex]

[tex]\longmapsto\:\bf{"x"} = 110 \degree [/tex]

Therefore, the measure of the following angle are:

  • x = 110°
  • y = 40° and
  • z = 30°
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.