Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

In fig. find the values of and and Show that

In fig. find the values of \( x \) and \( y \) and \( t \) Show that \( \boldsymbol{A B} \| \boldsymbol{C D} \)

  • A. \( x=100 \) and \( y=130 \)
  • B. \( x=230 \) and \( y=130 \)
  • C. \( x=130 \) and \( y=130 \)
  • D. None of these

Step-by-step solution

From the figure, using properties of parallel lines and a transversal, corresponding angles are equal. Given that AB || CD, we obtain equations: x = 100° and y = 130°.
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