Advertisements
Advertisements
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.
Advertisements
उत्तर
Given that
x = 45°, y = ?, z = ?, u = ?
Vertically opposite sides are equal
∴z = x = 45°
z and u angles are linear pair of angles
∴z + u = 180°
z = 180° - 4
⇒ u = 180° - x
⇒u = 180° - 45° [∵ x = 45°]
⇒ u = 135°
x and y angles are linear pair of angles
∴x + y = 180°
y = 180° - x
y = 180° - 45°
y = 135°
∴x = 45°, y = 135°, z = 135° and u = 45°
APPEARS IN
संबंधित प्रश्न
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 x when y =40
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
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
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 ______.
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?
