Advertisements
Advertisements
प्रश्न
In the given figure, if lines l and m are parallel lines, then x =
विकल्प
70°
100°
40°
30°
उत्तर
We have the following figure:
It is given that l || m
We know that consecutive interior angles are supplementary.
Therefore,
∠1 + 70° = 180°
∠1 = 180° - 70°
∠1 = 110° (1)
\[\angle1 = \angle AOB = 110 (\text { vertically opposite angles })\]
In a triangle, we know that, the sum of the angles is supplementary.
In ΔAOB:
\[30^\circ+ x + 110^\circ= 180^\circ\]
\[ \Rightarrow x = 180 - 110 - 30 = 40\]
Hence, the value of x will be \[40^\circ\]
APPEARS IN
संबंधित प्रश्न
In the below fig, l, m and n are parallel lines intersected by transversal p at X, Y and Z
respectively. Find ∠1, ∠2 and ∠3.
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.
Which of the following statement are true and false ? Give reason.
If two lines are intersected by a transversal, then corresponding angles are equal.
Fill in the blank :
If a transversal intersects a pair of lines in such a way that the sum of interior angles
on the same side of transversal is 180°, then the lines are _______.
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, if l1 || l2, what is x + y in terms of w and z?
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 line segment AB is parallel to the line segment CD, what is the value of y?
A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.
