Question
In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if 
= 35° then 
- 35°
- 45°
- 40°
- 50°
Hint:
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 a figure and ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E. We have to find the angle EBC.
The correct answer is: 35°
A line is a simple, one-dimensional shape that can go on forever in 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 a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠".
If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.
Here we used the concept of angle sum property of a triangle. 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 angle EBC is 35 degree.
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