STUDY THE FIGURE AND CHOOSE THE CORRECT OPTION :-
16. What is the value of X in figure (i) parallelogrm ?
(a) 60˚ (b) 70˚ (c) 80˚ (d) 100˚
17. What is the value of Z in figure (ii) parallelogram ?
(a) 100˚ (b) 130 ˚ (c) 70˚ (d) 150˚
18. What is the value of Y in figure (iii) rhombus ?
(a) 90˚ (b) 60˚ (c) 100˚ (d) 80˚
19. What is the value of X + Y + Z in figure (iv) parallelogram?
(a) 180˚ (b) 200˚ (c) 80˚ (d) 260˚
20.What is the value of Z in figure (v) parallelogram ?
(a) 68˚ (b) 40˚ (c) 118˚ (d) 28˚
Answers
Answer:
16. c
17. b
18. b
19. d
20. d
Explanation:
16)
Given that
ABCD is a Parallelogram
Angle B = 100°
angle C = x°
We know that
The adjacent angles are supplementary in a Parallelogram
=> angle B + angle C = 180°
=> 100°+x° = 180°
=> x° = 180°-100°
=> x° = 80°
The value of x° = 80°
17)
In the given Parallelogram
We know that
The adjacent angles are supplementary in a Parallelogram
x+50° = 180°
=> x° = 180°-50°
=> x° = 130°
and x and z are the corresponding angles
so they must be equal
=> x = z
=> z = 130°
The value of z = 130°
17)
Given figure is a rhombus
We know that
The diagonals bisect each other at 90°
x = 90°
We know that
The sum of the angles in a triangle is 180°
=> x+y+30° = 180°
=> 90°+y+30° = 180°
=> y+120° = 180°
=> y = 180°-120°
=> y = 60°
The value of y = 60°
19)
Given figure is a Parallelogram
We know that
The opposite angles in a Parallelogram are equal
=> y = 80°
We know that
The adjacent angles are supplementary in a Parallelogram
=> x+y = 180°
=> x+80° = 180°
=> x = 180°-80°
=> x = 100°
and 80° and z are the corresponding angles
so they must be equal
=> z = 80°
Now,
x+y+z = 100°+80°+80°
=> 260°
The value of x+y+z is 260°
20)
Given figure is paralellogram
We know that
The adjacent angles are supplementary in a Parallelogram
=> 40°+z +112° = 180°
=> z+152° = 180°
=> z = 180°-152°
=> z = 28°
The value of z = 28°
Used formulae:-
→ The adjacent angles are supplementary in a Parallelogram.
→ corresponding angles are equal.
→ The opposite angles in a Parallelogram are equal.
→ The diagonals bisect each other at 90°
Answer:
16 is a is ans
Explanation:
why this ans is incorret