Question

In the adjoining figure <1 = 80°. find the remaining angles​

Answer 1

Step-by-step explanation:

☆< 1 = 80°

♡< 3 = < 1 = 80° [ vertically opposite angles ]

♧< 5 = < 3 = 80°[ alternate interior angles ]

◇< 1 + < 2 = 180°[ linear pair ]

♤80° + < 2 = 180°

< 2 = 100°

♡< 3 + < 4 = 180°[ linear pair ]

80° + < 4 = 180°

< 4 = 100°

◇< 5 + < 6 = 180°[ linear pair ]

80° + < 6 = 180°

< 6 = 100°

♧< 7 = < 5 = 80 °[ vertically opposite angles ]

☆< 7 + < 8 = 180°[ linear pair ]

80° + < 8 = 180°

< 8 = 100°

< 1 = 80 °, < 2 = 100°, < 3 = 80°, < 4 = 100°, < 5 = 80°, < 6 = 100°, < 7 = 80°, < 8 = 100°

Answer 2

Answer:

Step-by-step explanation:

∠1 +∠2 =  180° ( Linear Pair)

⇒80° + ∠2= 180°

⇒∠2= 180°-80°

       = 100°

Now ∠1 = ∠4 (Vertically opposite angles)

      ⇒∠4 = 80°

∠2= ∠3 = 100° (Vertically opposite angles)

∠3+∠5 =  180° ( Co-interior angles)

⇒∠5 = 180°- 100°= 80°

∠4+∠6 =  180° ( Co-interior angles)

⇒∠6 =  180° - 80°= 100°

∠5= ∠8 = 80° (Vertically opposite angles)

∠6= ∠7= 100° (Vertically opposite angles)

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