Advertisements
Advertisements
प्रश्न
Three lines AB, CD and EF intersect each other at O. If ∠AOE = 30° and ∠DOB = 40° (Figure), find ∠COF.
उत्तर
∵ AB is a straight line.
∴ ∠AOE + ∠EOD + ∠DOB = 180°
⇒ ∠EOD = 180° – 30° – 40° = 110° ......(i) [∵∠AOE = 30° and ∠DOB = 40° (given)]
Now, CD and EF intersect each other at O.
∴ ∠COF = ∠EOD = 110° ......[Using (i)] [Vertically opposite angles]
Thus, ∠COF = 110°
APPEARS IN
संबंधित प्रश्न
Indicate which pairs of angles are Vertically opposite angles.
Fill in the blanks:
If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.
Lines AC and BD intersect at point P. m∠APD = 47°. Find the measures of ∠APB, ∠BPC, ∠CPD.
Lines PQ and RS intersect at point M. m∠PMR = x° What are the measures of ∠PMS, ∠SMQ and ∠QMR?
The angles at a point are x°, 2x°, 3x°, 4x° and 5x°. Find the value of the largest angle?
Using the figure, answer the following question and justify your answer
Is ∠3 vertically opposite to ∠1?
In the given figure, ∠8 = 107°, what is the sum of the ∠2 and ∠4?
In the given figure, lines l and m intersect each other at a point. Which of the following is false?
Statements a and b are as given below:
a: If two lines intersect, then the vertically opposite angles are equal.
b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.
Then ______.
If two angles have a common vertex and their arms form opposite rays (Figure), Then, write all the pairs of vertically opposite angles.
