Answered

IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Ask any question and get a detailed, reliable answer from our community of experts.

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°
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.