Math Sample Questions:-
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1. How many diagnonals does a triangle have?
2. How many triangles does a regular hexagon have?
3. What is angle sum of a convex polygon with number of sides 7?
4. What is angle sum of a convex polygon with number of sides n?
5. What is name of a regular polygon of 3 sides?
6. What is the name of a regular polygon of 6 sides?
7. What is the sum of the measures of external angles of any polygon?
8. The measures of three angles of a quadrilateral are 65 degree, 75 degree and 85 degree. What is measure of the fourth angle?
9. The measures of each of the four angles of a quadrilateral are equal. Find the measure of each angle?
10. Two adjacent angles of a quadrilateral measure 130 degree and 40 degree. What is the sum of the remaining two angles?
11. One angle of a parallelogram is a right angle. What is name of the quadrilateral?
12. If one angle of a parallelogram is of 65 degree then what would be the measure of the adjacent angle?
13. If the length of a side of a rhombus is 6 cm, then what will be the perimeter of the rhombus?
14. The sum of the internal angles of a polygon is 10 right angles. What will be the number of sides of that polygon?
15. Two adjacent sides of a rectangle are equal. What is the name of the quadrilateral?
Answers
Answer:
I. 3
ii 6
iii. 360
iv.
Step-by-step explanation:
v. 360
vi. hexagon
vii.
viii. 180-65+75+85
=360-225=130
9. 90
10. 110
11. square
12. 180-65=115
13. 24
14. 10
15. square
Answers:–
1) 0
2) 6
3) 900°
4) If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
5) triangle
6) hexagon
7) Sum of the exterior angles of a polygon. Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.
8) We know that, sum of all the 1 angles of a quadrilateral is 360°. Hence, the fourth angle of a quadrilateral is 120°.
9) The measure of each angle is 360/4 = 90°. The so formed quadrilateral is a rectangle or a square.
10) Let angle A =angleC
and,angle B =angle D
A.T.Q
angle C= angle A
130degrees =130degrees
angle D = angle B
40degrees = 40degrees
AngleA=130degrees
AngleB=40degrees
AngleC=130degrees
Angle D= 40degrees
11) rectangle:–
A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
12)1. If one angle of a parallelogram is of 65°, then the measure of the adjacent angle is *
65°
25°
90°
115°
Other:
2. If ˂A of a parallelogram A B C D is of 60°, then the measure of the opposite angle ˂C is *
60°
120°
30°
None of these
Other:
3. If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is *
Rectangle
Square
Rhombus
Kite
Other:
4.If the length of a side of a rhombus is 6cm, then the perimeter of the rhombus is *
6 cm
12cm
24cm
3cm
13) 6cm
14)The sum of the interior angles of a regular polygon of 10 sides = 10*[180 - (360/10)] = 10(180–36) = 10*144 = 1440 deg.
15) Square:–
Square is a quadrilateral with four equal sides and angles. It's also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.
Hope this helps you.