Advertisements
Advertisements
प्रश्न
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
Advertisements
उत्तर
`∠`AOE and `∠`EOB are linear pair of angles
`∠`AOE + `∠`EOB = 180°
`∠`AOE + `∠`DOE + `∠`BOD = 180°
⇒ `∠`DOE = 180° - 40° - 35° = 105°
Vertically opposite side angles are equal
`∠`DOE = `∠`COF = 105°
Now, `∠`AOE + `∠`AOF = 180° [∵ Linear pair]
⇒ `∠`AOE + `∠`AOC + `∠`COF = 180°
⇒ 40° + `∠`AOC +105° = 180°
⇒ `∠`AOC = 180° -145°
⇒ `∠`AOC = 35°
Also, `∠`BOF = `∠`AOE = 40° [ ∵ Vertically opposite angle are equal]
APPEARS IN
संबंधित प्रश्न
In the below fig, rays AB and CD intersect at O
Determine x when y =40
Two straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =
Consider the following statements:
When two straight lines intersect:
(i) adjacent angles are complementary
(ii) adjacent angles are supplementary
(iii) opposite angles are equal
(iv) opposite angles are supplementary
Of these statements
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
In the given figure, the value of x is ______.
Look at the picture given below. Decide whether the lines given in picture is parallel or perpendicular to each other and write the answer in the box.
Two parallel lines meet each other at some point.
Two lines in a plane which do not meet at a point anywhere are called ______ lines.
Which symbolic notation correctly represents the statement 'Line m is parallel to Line n?'
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
