Question

In the given figure, two lines pll q and r is transversal. if angle3= 135°, then find the remaining angles ​

Answer 1

Answer:

∠2=∠6=∠4=∠7= 45° and ∠1=∠5=∠3=∠8=135°

Step-by-step explanation:

Given:

Line P ║ line q and r is transversal line. and ∠ 3 =135°

∠ 1 = ∠ 3 =135° ( vertically opposite angles are equal. as line p and line r intersect each other)

∠1 = ∠ 5= 135° (corresponding angles  are equal.)

∠3 +∠6 =180° (sum of interior angle of one side is equal to 180° )

135° +∠6 =180°

   ∠ 6 = 180° -135°=45°

∠4 =∠6 =45° (alternate interior angles are equal)

∠2 =∠6=45° (corresponding angles are equal)

∠4 =∠7=45° (corresponding angles are equal)

∠2 +∠8 =180° (sum of exterior angle is 180°)

45° +∠8=180°

      ∠8 =180°-45°=135°

Answer 2

Answer:

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