Vertically opposite angles are always (a) supplementary (b) complementary (c) adjacent (d) equal
The correct answer is (d) equal Solution When two lines intersect each other, then the opposite angles, formed due to intersection... View Article
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In figure POQ is a line, then a is equal to (a) 350 (b) 1000 (c) 800 (d) 1350
The correct answer is (c) 80o Solution From the figure POQ is a straight line, Then, 100 + a =... View Article
In figure lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to (a) 1260 (b) 1440 (c) 1360 (d) 1540
The correct answer is (b) 144o Solution From the figure, we observe that the Sum of all angles about a... View Article
In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays.Then (a) All (i), (ii) and (iii) are true (b) (iii) is false (c) (i) is false but (ii) and (iii) are true (d) (ii) is false
The correct answer is (b) (iii) is false Solution Two angles are called adjacent angles if they have a common... View Article
. In which of the following figures, a and b are forming a pair of adjacent angles?
The correct answer is (d) a and b are forming a pair of adjacent angles. Solution The two angles are... View Article
In figure if QP || SR, the value of a is (a) 400 (b) 300 (c) 900 (d) 800
The correct answer is (c) 90o Solution To determine the value of ‘a’, draw a line XY, to cut at ‘a’.... View Article
In figure the value of a is (a) 200 (b) 150 (c) 50 (d) 100
The correct answer is (d) 10o Solution ∠AOF = ∠COD = 90o [because vertically opposite angles] We observe that sum of... View Article
In figure ∠AOC and ∠ BOC form a pair of (a) vertically opposite angles (b) complementary angles (c) alternate interior angles (d) supplementary angles
The correct answer is (d) supplementary angles Solution When the sum of two angles is 180°, then the angles are... View Article
For figure statements p and q are given below p : a and b are forming a linear pair. q : a and b are forming a pair of adjacent angles. Then, (a) both p and q are true (b) p is true and q is false (c) p is false and q is true (d) both p and q are false
The correct answer is (a) both p and q are true Solution p : a and b are forming a... View Article
Statements a and b are as given below: a : If two lines intersect, then the vertically opposite angles are equal. b : If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 1800. Then (a) Both a and b are true (b) a is true and b is false (c) a is false and b is true (d) both a and b are false
The correct answer is (b) a is true and b is false Solution a: If two lines intersect, then the... View Article
In figure ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1: 5. Then, ∠QOS measures (a) 150 (0b) 750 (c) 450 (d) 600
The correct answer is (b) 75o Solution When the sum of two angles is 180°, then the angles are known... View Article
If two supplementary angles are in the ratio 1: 2, then the bigger angle is (a) 1200 (b) 1250 (c) 1100 (d) 900
The correct answer is (a) 120o Solution We know that when the sum of two angles is 180°, then the angles... View Article
In figure, a and b are (a) alternate exterior angles (b) corresponding angles (c) alternate interior angles (d) vertically opposite angles
The correct answer is (c) alternate interior angles Solution The angles which are formed inside the two parallel lines, when... View Article
In figure PQ || SR and SP || RQ. Then, angles a and b are respectively (a) 200, 500 (b) 500, 200 (c) 300, 500 (d) 450, 350
The correct answer is (a) 20o, 50o Solution From the figure, we observe that ∠QRP = ∠RPS = 50o …... View Article
The difference of two complementary angles is 300. Then, the angles are (a) 600, 300 (b) 700, 400 (c) 200, 500 (d) 1050, 750
The correct answer is (a) 60o, 30o Solution When the sum of the measures of two angles is 90o, then... View Article
In figure, PA || BC || DT and AB || DC. Then, the values of a and b are respectively (a) 600, 1200 (b) 500,1300 (c) 700,1100 (d) 800,1000
The correct answer is (b) 50o,130o Solution We know that, ∠PAB = ∠ABC = 50o … [because interior alternate angles] Given, AB... View Article
In figure the value of y is (a) 300 (b) 150 (c) 200 (d) 22.50
The correct answer is (c) 20o Solution From the figure, we observe that the Sum of all angles about a... View Article
The measure of an angle which is four times its supplement is (a) 360 (b) 1440 (c) 160 (d) 640
The correct answer is (b) 144o Solution When the sum of two angles is 180°, then the angles are known... View Article
In figure POQ is a line. If x = 30°, then ∠ QOR is(a) 900 (b) 300 (c) 1500 (d) 600
The correct answer is (a) 90o Solution From the figure we observe that sum of all angles about a straight... View Article
In figure, POR is a line. The value of a is(a) 400 (b) 450 (c) 550 (d) 600
The correct answer is (a) 40o Solution When the sum of two angles is 180°, then the angles are known... View Article
