Question

in the figure given along side , find the value of x and y​

Answer 1

Answer:

Bcd is an straight line

y + 130 = 180

y = 50

in triangle ABC

$x + y + 68 = 180(sum \: of \: angle \: of \: triangle$

$x = 180 - 118$

$x = 62$

Answer 2

x = 62°

y = 50°

Step-by-step explanation:

GIVEN

• ∠ ACD = 130°

• ∠ B = 68°

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TO FIND

• x

• y

___________________________

We know that,

Sum of linear pairs is 180°

Here,

• ∠ ACD and ∠ ACB is linear pair

• ∠ ACD = 180°

• ∠ ACB = y

• ∠ ACD + ∠ ACB = 180° [ Linear Pair ]

• 130° + y = 180°

• y = 180° - 130°

• y = 50°

y = 50°

___________________________

We know that,

• Sum of all interior angles of a triangle is 180°

• ∠A + ∠B + ∠ACB = 180° [ Interior Angles Of A Triangle ]

• x + 68° + 50° = 180°

• x + 118° = 180°

• x = 180° - 118°

• x = 62°

x = 62°