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प्रश्न
In the adjoining figure, if line a || line b and line l is a transversal then find x.
पर्याय
90°
60°
45°
30°
उत्तर
30°
Explanation:
Let us mark the points P and Q on a; R and S on b; A and B on l.
Suppose PQ and AB intersect at M; RS and AB intersect at N.
Since a||b and l is a transversal, then
m∠ RNM = m∠ SNB (Vertically opposite angles)
⇒ ∠ RNM = 2x
Now, m∠ RNM + m∠ PMN = 180° (Interior angles on the same side of the transversal are supplementary)
⇒ 2x + 4x = 180°
⇒ 6x = 180°
⇒ x = `(180°)/6`
⇒ x = 30°
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.
Corresponding 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
In the given figure, which one of the following is not true?
A transversal intersects two or more than two lines at ______ points.
