slove the 11 to 14 questions Thank You ❤️
Answers
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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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°