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प्रश्न
In the following figure, which one of the following is not true?
पर्याय
∠1 + ∠5 = 180°
∠2 + ∠5 = 180°
∠3 + ∠8 = 180°
∠2 + ∠3 = 180°
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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°
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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 angles
In the adjoining figure, if line m || line n and line p are a transversal then find x.
In the adjoining figure, if line a || line b and line l is 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
A transversal intersects two or more than two lines at ______ points.
Which pair represents alternate interior angles?
If two parallel lines are cut by a transversal, what is the sum of any pair of exterior allied angles ?
