Question

In a parallelogram ABCD, if (3x – 10)° = ∠B and (2x + 10)° = ∠C, then find value of x. *
26°
30°
36°
40°​

Answer 1

Answer:

Angle b + angle c i = 180 degree

3x-10+(2x+10)=180. (corresponding angles of parallelogram ABCD)

3x-10+2x+10=180

5x=180

x=36°

Answer 2

★Given :

• A parallelogram ABCD
• (3x – 10)° = ∠B
• (2x + 10)° = ∠C

★To find :

• Value of x.

★Solution :

As ABCD is a parallelogram,

AB || CD & BC is the transversal.

Therefore,

→∠ABC + ∠DCB = 180°

Putting values,

→(3x - 10)°+(2x+10)° = 180°

→ 3x - 10 + 2x + 10 = 180°

→ 5x = 180°  

→  x = 180/5

→ x = 36°

Therefore,Option(C) is correct.

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Know more:-

Properties of parallelogram:

• Opposite sides are congruent (AB = DC).
• Opposite angles are congruent (D = B).
• Consecutive angles are supplementary (A + D = 180°).
• The diagonals of a parallelogram bisect each other.

When a transversal intersects two parallel lines,

• The corresponding angles are equal.
• The vertically opposite angles are equal.
• The alternate interior angles are equal.
• The alternate exterior angles are equal.
• The pair of interior angles on the same side of the transversal is supplementary.

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