Maths-
General
Easy

Question


Two lines intersect as shown. What is the value of x ?

  1. 15    
  2. 20    
  3. 25    
  4. 30    

The correct answer is: 20


    If two straight lines intersect at a point, we know that the opposite angles are equal.
    Explanation:
    Step 1 of 2:
    In the diagram, the measures of two opposite angles are given by open parentheses 5 x plus 5 close parentheses degree and open parentheses 7 x minus 35 close parentheses degree.
    Step 2 of 2:
    Hence, we have
    open parentheses 5 x plus 5 close parentheses degree equals open parentheses 7 x minus 35 close parentheses degree
    rightwards double arrow 7 x minus 5 x equals 35 plus 5
    ⇒ 2x = 40
    ⇒ x = 20
    Final Answer:
    The value of x is — 20.

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