The sum of angles of a concave quadrilateral is (a) more than 3602 (b) less than 3602 (c) equal to 3602 (d) twice of 3602
The correct answer is (c) equal to 360o Explanation We know that sum of angles of a concave and convex... View Article
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Which of the following can be four interior angles of a quadrilateral? (a) 1400, 402, 202, 1602 (b) 2702, 1502, 302, 202 (c) 402, 702, 902, 602 (d) 1102, 402, 302, 1802
The correct answer is (a) 140o, 40o, 20o, 160o Explanation From the angle sum property of quadrilateral we know that sum... View Article
If the adjacent angles of a parallelogram are equal, then the parallelogram is a (a) rectangle (b) trapezium (c) rhombus (d) any of the three
The correct answer is (a) rectangle Explanation A rectangle is a type of quadrilateral that has its parallel sides equal... View Article
Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is (a) 25 cm (b) 20 cm (c) 26 cm (d) 3.5 cm
The correct answer is (c) 26 cm Explanation. PQRS is a rectangle, Where SR = 24 cm, QR = 10... View Article
In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC ⊥ BD, then ∠BEC = (a) 600 (b) 300 (c) 1500 (d) 1200
The correct answer is (a) 60o Explanation. From the given figure, we observe that ∠BAD = 30o ∠BCD = 30o …... View Article
The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is (a) 1000 (b) 1500 (c) 1050 (d) 1200
The correct answer is (b) 150o Explanation. ABCD is a parallelogram. From the given details we note that ∠EBF =... View Article
The sum of adjacent angles of a parallelogram is (a) 1800 (b) 1200 (c) 3600 (d) 900
The correct answer is (a) 180o Explanation. In a parallelogram adjacent angles are supplementary. Hence the sum of adjacent... View Article
If PQRS is a parallelogram, then ∠P – ∠R is equal to (a) 600 (b) 900 (c) 800 (d) 00
The correct answer is (d) 0o Explanation. Opposite angles are equal in parallelogram ∠P and ∠R are equal in parallelograms.... View Article
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are (a) 720, 1080 (b) 360, 540 (c) 800, 1200 (d) 960, 1440
The correct answer is (a) 72o, 108o Explanation. Sum of adjacent angles of a parallelogram = 180o Let us assume... View Article
In a parallelogram PQRS, if ∠P = 60o, then other three angles are (a) 450, 1350, 1200 (b) 600, 1200, 1200 (c) 600, 1350, 1350 (d) 450, 1350, 1350
The correct answer is (b) 60o, 120o, 120o Explanation. In parallelogram ∠P and ∠Q are supplementary. We know that, sum... View Article
The number of sides of a regular polygon where each exterior angle has a measure of 450 is (a) 8 (b) 10 (c) 4 (d) 6
The correct answer is (a) 8 Explanation. Let us assume number of sides of a regular polygon be n. WKT, sum... View Article
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is (a) 1500 (b) 1200 (c) 1050 (d) 1400
The correct answer is (b) 120o Explanation. From the angle sum property of quadrilateral we know that the sum of the... View Article
In the trapezium ABCD, the measure of ∠D is (a) 550 (b) 1150 (c) 1350 (d) 1250
The correct answer is (d) 125o Explanation. From the given figure ∠D and ∠A are supplementary. We know that, sum of... View Article
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is (a) 720 (b) 1440 (c) 360 (d) 180
The correct answer is (c) 36o Explanation. From the angle sum property of quadrilateral we know that the sum of... View Article
Which one has all the properties of a kite and a parallelogram? (a) Trapezium (b) Rhombus (c) Rectangle (d) Parallelogram
The correct answer is (b) Rhombus Explanation. Rhombus has all the properties of a kite and a parallelogram A rhombus... View Article
Which of the following is an equiangular and equilateral polygon? (a) Square (b) Rectangle (c) Rhombus (d) Right triangle
The correct answer is (a) Square Explanation. Square is an equiangular and equilateral polygon. A square is a four-sided polygon... View Article
The sum of all exterior angles of a triangle is (a) 1800 (b) 3600 (c) 5400 (d) 7200
The correct answer is (b) 360o Explanation. The exterior angle of a triangle is the angle formed between one side... View Article
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a (a) rhombus (b) rectangle (c) square (d) parallelogram
The correct answer is (b) rectangle Explanation. A rectangle is a type of quadrilateral that has its parallel sides equal... View Article
If the adjacent sides of a parallelogram are equal then parallelogram is a (a) rectangle (b) trapezium (c) rhombus (d) square
The correct answer is (c) rhombus Explanation A rhombus is a special case of a parallelogram, and it is a... View Article
How many diagonals does a hexagon have? (a) 9 (b) 8 (c) 2 (d) 6
The correct answer is (a) 9 Explanation The number of diagonals in a polygon of n sides is n(n –... View Article
