Maths-
General
Easy

Question

In the figure, a equals 4 x to the power of ring operator end exponent and b equals left parenthesis 2.5 x plus 24 right parenthesis to the power of ring operator end exponent comma then the value of x =

  1. 16°    
  2. 32°    
  3. 24°    
  4. 48°    

hintHint:

The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given the figure and we have to find the value of x.

The correct answer is: 16°


    A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
    When the ends of two rays collide at a single location, an angle is the geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolised by the character "∠".
    Here we have given a equals 4 x to the power of ring operator end exponent and b equals left parenthesis 2.5 x plus 24 right parenthesis to the power of ring operator end exponent comma now we have:


    N o w space w e space k n o w space t h a t space A n g l e s space o n space t h e space s a m e space s i d e space o f space t r a n s v e r s a l space a r e space e q u a l comma space s o colon
angle a equals angle b
P u t t i n g space t h e space g i v e n space v a l u e s space i n space i t comma space w e space g e t colon
4 x equals 2.5 x plus 24
S i m p l i f y i n g space i t comma space w e space g e t colon
4 x minus 2.5 x equals 24
1.5 x equals 24
x equals fraction numerator 24 over denominator 1.5 end fraction
x equals 16

    Here we used the concept of angles on same side of transversal.  When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.

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