Advertisements
Advertisements
प्रश्न
In the following figure, which one of the following is not true?
विकल्प
∠1 + ∠5 = 180°
∠2 + ∠5 = 180°
∠3 + ∠8 = 180°
∠2 + ∠3 = 180°
Advertisements
उत्तर
∠2 + ∠3 = 180°
Explanation:
Since, PQ || RS, line l is a transversal.
∴ ∠2 + ∠5 = 180° ...(i) [Co-interior angles]
∠3 + ∠8 = 180° ...(ii) [Co-interior angles]
∠1 = ∠2 ...(iii) [Vertically opposite angles]
∴ ∠1 + ∠5 = 180° ...[By (i) and (iii)]
∠2 = ∠3 ...[Alternate interior angles]
But ∠2 + ∠3 ≠ 180°
APPEARS IN
संबंधित प्रश्न
In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.
Corresponding angles.
(1) ∠p and `square`
(2) ∠q and `square`
(3) ∠r and `square`
(4) ∠ s and `square`
Interior alternate angles.
(5) ∠s and `square`
(6) ∠w and `square`
Observe the angles shown in the figure and write the following pair of angles.
Interior alternate angles
Observe the angles shown in the figure and write the following pair of angles.
Corresponding angles
Observe the angles shown in the figure and write the following pair of angles.
Interior angles
In the adjoining figure line p || line q. Line t and line s are transversals. Find measure of ∠x and ∠y using the measures of angles given in the figure.
A transversal intersects two or more than two lines at ______ points.
If two parallel lines are intersected by a transversal, what is the relationship between the corresponding angles formed?
When a transversal intersects two parallel lines, what is the sum of any pair of consecutive interior angles?
Which pair represents alternate interior angles?
A line is defined as a transversal if it satisfies which of the following conditions?
