Question

in the figure if line m is parallel to line in then the value of x is​

Answer 1

Answer:

Am not sure about the answer.

Answer 2

Answer:

x = 65°

Solution:

Given:

• Line m || Line n

To find:

⟶ Value of x = ?

Solution:

First let's understand the concept.

Concept used:

→ Alternate Interior angles are equal.

According to the question,

By Vertically Opposite Angles,

∠EGB = ∠AGH

⇒ ∠AGH = 2x

By Co-interior angles,

∠AGH + ∠CHG = 180°

⇒ 2x + 50° = 180°

⇒ 2x = 180° - 50°

⇒ 2x = 130°

⇒ x = 130 ÷ 2

∴ x = 65°

Know more:

• Vertically Opposite Angles states that when 2 lines intersect each other, the opposite angles are equal.
• Co-Interior angles states that Angles present in between the parallel lines and on the same side of the transversal are supplementary.