Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

12. Find the value of x.
HELP PLS HELP

12 Find The Value Of X HELP PLS HELP class=

Sagot :

devishri1977

Answer:

x = 16

Step-by-step explanation:

 SR = ST ⇒ Two sides are equal. So, ΔSRT is an isosceles triangle.

The angles opposite to equal sides are equal.

  ⇒  ∠STR  = ∠R

       ∠STR = 4x - 28

Linear pair: If a ray stands on a line, then the adjacent angles are supplementary and they are called linear pair

∠STR + ∠STU = 180°    {linear pair}

4x - 28 + 9x = 180

4x + 9x - 28  = 180      {Combine like terms}

       13x- 28 = 180

Add 28 to both the sides

          13x    = 180 + 28

           13x  = 208

Divide both sides by 13

              x = 208/13

  [tex]\sf \boxed{x = 16}[/tex]

Answer:

x = 16

Step-by-step explanation:

since SR = ST , then Δ RST is isosceles with the 2 base angles congruent.

∠ STR = ∠ SRT = 4x - 28

∠ STR and ∠ STU are a linear pair and sum to 180° , that is

9x + 4x - 28 = 180

13x - 28 = 180 ( add 28 to both sides )

13x = 208 ( divide both sides by 13 )

x = 16

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.