Question

In the given figure , find the value of x and y​

Answer 1

Answer:

x is 60° y is 50°

Step-by-step explanation:

y+130=180(linear pair)

y =180-130=50°

70+x=130(exterior angle property)

x=130-70 =60°

Answer 2

Given :

• ∠DCB = 130°
• ∠CAB = 70°

To find :

• Value of x and y

According to the question,

➞ ∠DCB + ∠ACB = 180°

Reason : Linear pair

➞ 130° + ∠ACB = 180°

➞ ∠ACB = 180° - 130°

➞ ∠ACB = 50°

In △ABC,

➞ ∠CAB + ∠CBA + ∠ACB = 180°

Reason : Angle sum property

➞ 70° + ∠CBA + 50° = 180°

➞ 120° + ∠CBA = 180°

➞ ∠CBA = 180° - 120°

➞ ∠CBA = 60°

So,

• x = 60° and y = 50°

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