Bissoy.com
Doctors Medicines MCQs Q&A

Which of the following statements are true? (i) Angles forming a linear pair are supplementary. (ii) Angles forming a linear pair can both be acute angles. (iii) Two lines parallel to the same line are parallel to each other. (iv) Two lines perpendicular to the same line are perpendicular to each other.

Which of the following statements are true? (i) Angles forming a linear pair are supplementary. (ii) Angles forming a linear pair can both be acute angles. (iii) Two lines parallel to the same line are parallel to each other. (iv) Two lines perpendicular to the same line are perpendicular to each other. Correct Answer ( i ) and ( iii )

Calculation:

(i) Angles forming a linear pair are supplementary. 

A linear pair = sum of angels of the pair = 180° 

So, the statement is true.

(ii) Angles forming a linear pair can both be acute angles.

Acute angles = angles which has a value < 90°

We know 90 + 90 = 180, then, two ranges whose values are both less than 90° will not give sum 180° 

So, the statement is false.

 (iii) Two lines parallel to the same line are parallel to each other.

The given statement is true.

(iv) Two lines perpendicular to the same line are perpendicular to each other.

The statement is false as two lines perpendicular to the same line will be parallel to each other and not perpendicular to each other.

∴ (i) and (iii) are true.

Related Questions

March List I with List II :   List I   List II (A) Supplementary angles (I) Angles less than 90° (B) Complementary angles (II) Two angles whose sum is 180° (C) Acute angles (III) Angles greater than 90° but less than 180° (D) Obtuse angles (IV) Two angles whose sum is 90° Choose the correct answer from the options given below :
In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?
In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?
Consider the following statements & choose the correct option: When two straight lines intersect then, 1. Adjacent angles are supplementary 2. Opposite angles are supplementary 
Consider the following statements & choose the correct options When two straight lines intersect then, 1. Adjacent angles are supplementary 2. Opposite angles are supplementary
Arrange the following stages in a sequence, such that they result in an ogee curve between two parallel lines AB and CD, such that they are the tangents to the arc. m) Join the adjacent ends B and C with a straight line. n) Divide the line BC into four parts using the points P1, P2, P3. o) Draw lines such that they pass through the points P1, P2, P3, and are perpendicular to the line BC. p) Draw the perpendicular lines through the points B and C such that they cut the lines passing through P1, P3 respectively at E and F. q) With the center E draw an arc BP2 and with center F draw an arc P2C, thus arc BP2C is required ogee curve.
A trapezium is formed by joining two parallel line segments of unequal length. The arrangement of both lines is such that the excessive length of the longer parallel line segment is equally distributed on both sides of the end point of shorter line segment. The non-parallel line segments are of equal length and the length of parallel line segments in 10 cm and 18 cm. What is the area of trapezium if the perimeter is 38cm?
Which of the following statements is/are true? A: If in ΔABC, O is the orthocenter of the circle, then ∠BOC will be (90 + ∠BAC). B: Each side of an equilateral triangle is 2/√3 times of its height. C: If two transversal lines cuts two parallel lines ‘L’ at A and B and ‘M’ at C and D. If the two transversal lines cut each other at O somewhere between two parallel lines, then ΔAOB and ΔCOD will be similar.
Which of the following statement(s) given below is / are TRUE? A: If two angles form a linear pair, they are supplementary. B: If all the three angles of a triangle are congruent to the angles of another triangle, only then triangles are similar. C: In a triangle, the largest angle contains the longest side of the triangle.
Two processes X and Y need to access a critical section. Consider the following synchronization construct used by both the processes Process ? /* other code for process ? */ while(true) { varP = true; while(varQ == true) { /* Critical Section */ varP = false; } } /* other code for process ?? */   Process ? /* other code for process ? */ while(true) { varQ = true; while(varP == true) { /* Critical Section */ varQ = false; } } /* other code for process ? */   Here, varP and varQ are shared variables and both are initialized to false. Which one of the following statements is true?