Advertisements
Advertisements
प्रश्न
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC =
पर्याय
70°
80°
90°
180°
Advertisements
उत्तर
Let us draw the following diagram showing two lines AB and CD intersecting at a point O.
Thus, ∠AOC, ∠COB, ∠AODand ∠BODform a complete angle, that is the sum of these four angle is 360°.
That is,
∠AOC + ∠COB +∠BOD+ ∠AOD = 360° (I)
It is given that
∠AOC + ∠COB + ∠BOD = 270° (II)
Subtracting (II) from (I), we get:
∠AOD = 360° - 270°
∠AOD = 90°
If one of the four angles formed by two intersecting lines is a right angle, then each of the four angles will be a right angle.
So, ∠AOC = \[90^\circ\]
APPEARS IN
संबंधित प्रश्न
In the below fig, lines �1 and �2 intersect at O, forming angles as shown in the figure. If x = 45, Find the values of x, y, z and u.
In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
If one of the four angles formed by two intersecting lines is a right angle, then show that
each of the four angles is a right angle.
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
Give two examples of perpendicular lines you can see in your environment.
Mention two real life situations where we use parallel lines
Two parallel lines meet each other at some point.
