Question

In the given figure, find the value of x and y. The best answer with full explanation will be marked brainliest and every answer will be thanked :)
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Answer 1

Answer:

x = 60°, y = 50°

Step-by-step explanation:

Angle BCD and Angle BCA form a linear pair.

=> 130° + y = 180°

=> y = 180° - 130°

=> y = 50°

According to the angle sum property of triangle, the sum of all three interior angles is 180°.

=> 70° + 50° + x = 180°

=> x = 180° - 120°

=> x = 60°

Answer 2

Answer:

• x = 60
• y = 50

Step-by-step explanation:

Given that:

• ∠BAD = 70°
• ∠DCB = 130°

To Find:

• Value of x and y.

Properties used:

1. Exterior angle of the triangle is equal to the sum of the two opposite interior angles.
2. Sum of angles on a straight line is always 180°.

Solution:

∵ Exterior angle of the triangle is equal to the sum of the two opposite interior angles.

∴ ∠DCB = ∠BAD + ∠CBA

Substituting the values,

130° = 70° + x

Transposing 70° from RHS to LHS and changing its sign,

130° - 70° = x

Subtracting 70° from 130°,

60° = x

Hence, the value of x = 60.

Now,

∵ Sum of angles on a straight line is always 180°.

∴ ∠DCB + ∠BCA = 180° [linear pair]

Substituting the values,

130° + y = 180°

Transposing 130° from LHS to RHS and changing its sign,

y = 180° - 130°

Subtracting 130° from 180°,

y = 50°

Hence, the value of y = 50.