Advertisements
Advertisements
प्रश्न
In the given figure, if l1 || l2, what is x + y in terms of w and z?
पर्याय
180° − w + z
180° + w − z
180° - w − z
180° + w + z
उत्तर
The figure is given below:
Since, y and z are alternate interior opposite angles. Therefore, these must be equal.
y = z (i)
Also x and w are consecutive interior angles.
Theorem states: If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.
Therefore,
x +w = 180° (ii)
On adding equation (i) and (iii) , we get :
x + y + w = 180°
x + y = 180° + z - w
APPEARS IN
संबंधित प्रश्न
If two straight lines are perpendicular to the same line, prove that they are parallel to each
other.
In the below fig, lines AB and CD are parallel and P is any point as shown in the figure.
Show that` ∠`ABP +` ∠`CDP = ∠DPB.
In the below fig, p is a transversal to lines m and n,`∠`2 = 120° and `a∠`5 = 60°. Prove that m || n.
Which pair of lines in the below fig, is parallel? Given reasons.
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is
In the given figure, PQ || RS, ∠AEF = 95°, ∠BHS = 110° and ∠ABC = x°. Then the value of x is
In the given figure, if l1 || l2, what is the value of y?
In the given figure, if lines l and m are parallel, then x =
In the given figure, if lines l and m are parallel, then the value of x is
In the following figure, find the value of x for which the lines l and m are parallel.
