Question

2 .In the given figure first, in which line segment EF,GH,KL,NM and TS represent roads. Here KLǁNM 1. Find the angle measure of a. 2. Find the angle measure of b. 3. Find the angle measure of c. 4. Find the the pairs of angles c and b and the pairs of angles a and b. 5. Name the figure formed by above two pairs of parallel lines​

Answer 1

Step-by-step explanation:

Let us extend the line GH to N such that it intersects the line AB at M

AB∣∣CD and GM is transversal 

 

⟹ The ∠AMH=∠CHG=60∘ (Corresponding Angles )

∠NMB=∠AMH=60∘ (Vertically opposite angles)

AB∣∣CD and HK is transversal 

 

⟹ The ∠AKH=∠KHD=25∘ (Alternate interior Angles )

NM∣∣KL and KM is transversal 

 

⟹ The ∠NMK=∠LKB=60∘ (Corresponding Angles )

⟹∠LKM=180∘−∠KLB    (Linear pair)

⟹∠LKM=180−60=120∘

⟹∠HKL=∠HKA+∠AKL

⟹∠HKL=25+120=145∘