Advertisements
Advertisements
Question
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
Advertisements
Solution 1
Given x = 60°
y = ?
`∠`AOC, `∠`BOC are linear pair of angles
`∠`AOC + `∠`BOC = 180°
⇒ 2x + y = 180°
⇒ 2 × 60 + y = 180° [ ∵x = 60°]
⇒ y = 180° -120°
⇒ y = 60°
Solution 2
Rays ABand CD intersect at point O.
Therefore, ∠AOCand ∠BOCform a linear pair.
Thus,
∠AOC +∠BOC = 180°
2x +y =180° (1)
On substituting x = 60° :
2x + y = 180°
2(60°) + y = 180°
120° + y= 180°
y = 180°- 120°
y = 60°
APPEARS IN
RELATED QUESTIONS
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.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
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
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
In the given figure, the value of x is ______.
In the given figure, which of the following statements must be true?
(i) a + b = d + c
(ii) a + c + e = 180°
(iii) b + f = c + e
Give two examples of perpendicular lines you can see in your environment.
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?
