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, identify:
- The pairs of corresponding angles.
- The pairs of alternate interior angles.
- The pairs of interior angles on the same side of the transversal.
- The vertically opposite angles.
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.
Interior angles
In the adjoining figure, if line m || line n and line p are a transversal then find x.
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 line which intersects two or more lines in different points is known as
When a transversal intersects two parallel lines, what is the sum of any pair of consecutive interior angles?
A line is defined as a transversal if it satisfies which of the following conditions?
If two parallel lines are cut by a transversal, what is the sum of any pair of exterior allied angles ?
