Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

guys please help...........................................................................

Guys Please Help class=

Sagot :

Starrysoul100

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

  • We have given two parallel lines and two lines intersecte each other and act as a transverse
  • Due to the intersection between two parallel and two traverse lines a triangle is formed.
  • The measurements of the given triangle are 60° , 20° and C

To Find :-

  • We have to find the values of angles A, B and C

Let's Begin :-

Here, we have

  • 1 triangle whose measures are 60° , 20° and C

Therefore,

By using Angle sum property

  • ASP states that the sum of all angles of triangles are equal to 180°

That,

[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]

Subsitute the required values,

[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]

[tex]\sf{ C = 100}{\degree}[/tex]

Thus, The value of C is 180°

Now,

We have to find the measurement of Angles A and B

Here,

  • Angle B , unknown angle and Angle C lie on a straight line and we know that the angle formed by straight line is 180°
  • Let the unknown angle be x which is equal to 20° ( Alternative interior angles)

Therefore,

[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]

[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]

[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]

[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]

[tex]\sf{\angle{ B = 60{\degree}}}[/tex]

Now,

  • A, B and 100° lie on a straight line and we know that the angle formed by straight line is equal to 180°

Therefore ,

[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]

[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]

[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]

[tex]\sf{\angle{ A = 20{\degree}}}[/tex]

Hence, The measure of Angles A, B and C are 20° , 60° and 100° .

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.