In the fig., AB || CD. Find the value of x.
Share
In the fig., AB || CD. Find the value of x.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
The value of x is 20°
Explanation:
Since AB || CD, ∠ LEF = ∠ EGH
∴ ∠ EGH = 85°
Here, ∠ EGH + ∠ MGH = 180°
⇒ 85° + ∠ MGH = 180°
⇒ ∠ MGH = 180° - 85°
⇒ ∠ MGH = 95°
Again, ∠ MHC + ∠ MHG = 180°
⇒ 115° + ∠ MHG = 180°
⇒ ∠ MHG = 180° - 115°
⇒ ∠ MHG = 65°
From Δ MGH, we get
∠ MGH + ∠ MHG + ∠ GMH = 180°
⇒ 95° + 65° + x° = 180°
⇒ x° = 180° - 95° - 65°
⇒ x° = 180° - 160°
⇒ x° = 20°