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Question

A transversal intersects two parallel lines. if the measure of one of the angle is 500, then the measure of its corresponding angle is ................
  1. 400
  2. 1300
  3. 1800
  4. 500

A
1300
B
1800
C
500
D
400
Solution
Verified by Toppr

As we know that sum of two corresponding angle is always 180.
One angle is given as 50, if another angle is x then
x=50o
because corresponding angles are equal

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Similar Questions
Q1
A transversal intersects two parallel lines. if the measure of one of the angle is 500, then the measure of its corresponding angle is ................
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Q2
Select the correct alternative and fill in the blanks in the following statements.

(i) If a transversal intersects two parallel lines then the sum of interior angles on the same side of the transversal is ............
(A) 0Ā° (B) 90Ā° (C) 180Ā° (D) 360Ā°
(ii) The number of angles formed by a transversal of two lines is ............
(A) 2 (B) 4 (C) 8 (D) 16

(iii) A transversal intersects two parallel lines. If the measure of one of the angles is 40āˆ˜ then the measure of its corresponding angle is .............
(A) 40Ā° (B) 140Ā° (C) 50Ā° (D) 180Ā°
(iv) In āˆ†ABC, āˆ A = 76Ā° ,āˆ B = 48Ā° ,āˆ“ C = ..............
(A) 66 Ā° (B) 56 Ā° (C) 124 Ā° (D) 28 Ā°
(v) Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75Ā° then the measure of the other angle is .............
(A) 105Ā° (B) 15Ā° (C) 75Ā° (D) 45Ā°
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Q3
(i) If a transversal intersects two parallel lines then state the relation between alternate angles.
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(iii) If a transversal intersects two parallel lines and the corresponding sides of two angles are parallel then what is the relation between these angles?
(iv) If AB is a line and P is a point outside it then how many lines can be drawn through P and Parallel to AB?
(v) If a transversal intersects two parallel lines such that the ratio between the interior angles on one of its side is 2:7, then find the measure of the greater angle.
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Q4

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

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Q5
If two parallel lines are cut by a transversal, then the corresponding angles formed are equal in measure.
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