if l // m and p//n angle 1 =75° then
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Answer:
another is also 75°
Step-by-step explanation:
and another two Parallel angle 105°
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Solution:
Given that, l ∥ m and ∠1 = 75∘
We know that,
∠1 + ∠2 = 180° → (linear pair)
= ∠2 = 180° – 75°
= ∠2 = 105°
here, ∠1 = ∠5 = 75° are corresponding angles
∠5 = ∠7 = 75° are vertically opposite angles.
∠2 = ∠6 = 105° are corresponding angles
∠6 = ∠8 = 105° are vertically opposite angles
∠2 = ∠4 = 105° are vertically opposite angles
So, ∠1 = 75°, ∠2 = 105°, ∠3 = 75°, ∠4 = 105°, ∠5 = 75°, ∠6 = 105°, ∠7 = 75°, ∠8 = 105°
Given that, l ∥ m and ∠1 = 75∘
We know that,
∠1 + ∠2 = 180° → (linear pair)
= ∠2 = 180° – 75°
= ∠2 = 105°
here, ∠1 = ∠5 = 75° are corresponding angles
∠5 = ∠7 = 75° are vertically opposite angles.
∠2 = ∠6 = 105° are corresponding angles
∠6 = ∠8 = 105° are vertically opposite angles
∠2 = ∠4 = 105° are vertically opposite angles
So, ∠1 = 75°, ∠2 = 105°, ∠3 = 75°, ∠4 = 105°, ∠5 = 75°, ∠6 = 105°, ∠7 = 75°, ∠8 = 105°
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