Math, asked by saniyasakshi7762, 7 months ago

slove the 11 to 14 questions Thank You ❤️​

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Answers

Answered by sunitaranjan786
1

Step-by-step explanation:

11. (a) blue

(b) green

(c) 55-19=34

12.

65°+z=180 (straight angle)

z=115°

x=65° (opposite angles)

y=115° (opposite angles)

13.

120°+x=180°

x=60°

14.

Let the base angles be x.

72°+x+x=180° (Angle sum property)

2x=180°-72°

x=108°÷2

x=54

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Answered by nita61
1

Answer:

Q-11] a] Blue is the most preferred colour.

b] Green is the least preferred colour.

c] Most preferred colour = Blue = 55

Least preferred colour = Green = 19

∴ Difference = 55 - 19

= 36

∴ Difference between most preferred colour and least preferred colour is 36.

Q-12] ∴ m∠x = 65° → vertically opposite angles

∴ m∠z + m∠x = 180° → linear pair

∴ m∠z + 65° = 180°

∴ m∠z = 180° - 65°

∴ m∠z = 115°

∴ m∠y = m∠z → vertically opposite angles

∴ m∠y = 115°

Q-13] To find the x, we will take the linear pair of 120° be y.

∴ m∠y + 120° = 180° → linear pair

∴ m∠y = 180° - 120°

∴ m∠y = 60°

∴ m∠x = m∠y → alternate interior angles

∴ m∠x = 60°

Q-14] Given:-

Vertex angle = 72°

Base angles = ?

Let the two base angles be '2b'

∴ According to the Given condition:-

2b + 72° = 180° → By angle sum property

2b = 180° - 72°

2b = 108°

2b/2 = 108/2

b = 54°

∴ The base angles are 54°

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