Question

Find the value of unknown​

Answer 1

Correct Answer

In a parrallagram opposite angles are equal So,

• ⇒ n° = 75°

As alternate angles are equal So

• ⇒ y° = 75°

As supplementary angles are equal to 180° So

• ⇒m° + 75° = 180°
• ⇒m° = 180° - 75°
• ⇒m° = 105°

As opposite angles are equal So

• ⇒x° = m°
• ⇒x° = 75°

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Answer 2

Answer:

Our figure here is a parallelogram.

So, < n = 75° (Opposite angles of parallelogram are equal)

And < m and < x are equal so

Let < m and < x = R

So,

R +R + 75° +75° = 360° (Angle sum property of quadrilateral)

Now

⟹ 2R +150° = 360°

⟹ 2R = 360° -150°

⟹ 2R = 210°

So, R = 210°/2 = 105°

Hence, < m = < x = 105°

Now, if < x = 105°

Then,

< y +105° = 180° ( Linear Pair)

⟹ < y = 180° -105°

So, < y = 75°

Hence, < x = 105°,<n = 75°,< m = 105° and <y = 75°