please answer this question
Answers
Answer:
1) (i) Square
2) (iv) rectangle
3) (ii) Square
4) (i) rectangle
5) (ii) rectangle
6) (ii) Pair of non-parallel sides are equal.
7) (ii) The adjacent angle are complementary
8) (ii) 180⁰
9)(iv) (n-2)*180⁰
10) (ii) trapezium
11) Angle=142⁰
12) sides=2
13)Angles= 60⁰, 80⁰, 100⁰, 120⁰
14) Angle= 270⁰, 180⁰
15) AB= 61.5 cm, BC= 37.5 cm
16) Angle= 108°,72°
17) Figure is not shown
Step-by-step explanation:
1) Adjacent angle=90⁰
2) Opposite sides are equal in a rectangle.
3) Regular quadrilateral is a shape that has four equal sides, with all the interior angles equal.
5) oppostie sides are equal
11)Angle 1=(5x-8)⁰ =150-8=142⁰
Angle2= (2x+82)⁰=60+82=142⁰
Opposite angles are equal in a parallegram
5x-8=2x+82
=5x-2x=82+8
=3x=90
x=30
12) Exterior angle=1/5 of the interior angle
1/5 (interior angle) = (n-2)*180⁰
=1/180*5=n-2
1/900=n-2
1/900+2=n
1+1800=900n
1801/900=n7
n=2.11
13) Angles = 3x, 4x, 5x. 6x
Using angle-sum property
3x+4x+5x+6x=360
18x=360
x=20
Angles =3x=3*20=60⁰
Angles =4x=4*20=80⁰
Angles =5x=5*20=100⁰
Angles =6x=6*20=120⁰
14)Angle1= 2/3 angle of interior
angle= x⁰
180- 2x +4/3*x=360
540-6x+4x=1080
2x=1080-540
2x=540
x=270⁰
Angle= 270⁰, 180⁰
15) AB= 5x= 5*25/2=125/2=61.5 cm
BC= 3x=3*25/2=75/2=37.5 cm
Perimeter= 200
2(5x+3x)=200
8x=200/2
8x=100
x=100/8
x=25/2
16) Angle=3x= 3*36=108°
Angle=2x= 2*36=72°
Using angle-sum property
2( 3x+2x)=360
5x=360/2
5x=180
x=36