in the figure if line m is parallel to line in then the value of x is
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Am not sure about the answer.
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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.
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