Question

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Answer 1

Answer:

• ∠x = 110°
• ∠y = 70°
• ∠r = 110°

Step-by-step explanation:

Analysing the question,

Given:

• p || q
• ∠z = 110°

To find:

Value of ∠x, ∠y and ∠r

Solution:

In the given question, line p is parallel to line q and line ‘l’ can be considered as a transversal.

By Vertically Opposite Angles,

∠r = ∠z

Since ∠z is 110°,

∠r = 110°

By Alternate Interior angles,

∠r = ∠x

Since ∠r is 110° ∠x = 110°

Now, ∠x and ∠y form linear pair of angles

So, ∠x + ∠y = 180°

→ 110° + ∠y = 180°

→ ∠y = 180° - 110°

∴ ∠y = 70°

Answer 2

Answer:

angle z = 110°

angle r = angel z ( alternate angle are same )

angle r = 110°

angle r + angle y = 180° (sum of angle are same side of transversal is 180° )

110° + angle y = 180°

angle y = 180° - 110° = 70°

angle y + angle x = 180° (sum of perpendicular angles is 180° , also alternate exterior angles are same )

70° + angle x = 180°

angle x = 180° - 70° = 110°

(angle z = angle x

angle x = 110° )

r = 120°

y = 70°

x = 110°

I hope it will helpful.