Question

3.
105°
24°
In the given figure AB || CD; BC || DE then
find the values of x and y.
1​

Answer 1

Answer:

The value of x = 43° and y = 156°

Step-by-step explanation:

Given that :

• AB║CD; BC║DE and ∠BCD=105°
• ∠DCE=24°
• ∠ABC=3x
• ∠CED=y

To Find :

Values of x and y.

Solution :

From The linear pair property,

We have

∠BCA+∠BCD+∠DCE = 180°

∠BCA+105°+24°= 180°

∠BCA=51°

From ΔABC, ∠ABC+∠BCA=180°

(Corresponding angles)

3x+51°=180°

3x=129°

x = 43°

From ΔDCE, ∠CED+∠DCE=180°

(Corresponding angle)

y + 24° = 180°

y = 156°

Hence, The value of x =  43° and y = 156°

Answer 2

$\bold {\huge {Your ~answer :-}}$

$\bf\huge\boxed{x=43°\: ,y=156°}$

__________________

Given—

》AB || CD & BC || DE

》∠DCE = 24°

》∠BCD = 105°

》∠ABC = 3x

》∠CED = y

HERE UR EASY SOLUTION —

●AE is Linear (property)

∠BCA + ∠BCD + ∠DCE = 180

⇒∠BCA + 105 + 24 = 180

⇒∠BCA = 51°

●Corresponding Angles

Since AB || CD

∠BCA + ∠ABC = 180

⇒ 51 + 3x = 180

⇒ x = 43°

●corresponding Angles

∠CED + ∠DCE = 180 °

⇒24° + y = 180

⇒y = 156°

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