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Which of the following can never be the measure of exterior angle of a regular polygon? (a) 22² (b) 36² (c) 45² (d) 30²

The correct answer is (a) 22o Explanation We know that Sum of exterior angles of a polygon is equal to 3600 If we divide 3600 by any one of... View Article

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 quadrilateral is equal to 360o.... View Article

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 of interior... 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 to each other and... 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 cm Consider the triangle QRS From the rule of... 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 … [∵opposite angles... 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 = 30o From the... 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... 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. So,... 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 two angles be 2n and 3n Then, 2n... 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 of... 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 of all exterior angles of... 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 interior... 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 supplementary... 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 the interior angles of a... 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 is a special case of a... 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 that has... 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 of a triangle and the... 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 to each other and... 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 four-sided quadrilateral. In... View Article