Solve this: Q 12 a) Find x and y in the given parallelogram b - Maths - Practical Geometry

Question

Solve this:
Q 12 a) Find x and y in the given parallelogram

b

c

Neha Sethi · Accepted Answer

Dear student
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b) Given: GUNS is a ∥gm
Now, ∠NUM+∠NUG=180°   Linear Pair⇒∠NUG=180°-∠NUM⇒∠NUG=180°-70°   Given:∠NUM=70° ⇒∠NUG=110°Also, ∠NUG=x   opposite angles of a ∥gm are equal⇒x=110°Also we have,∠UNG=∠NGS  Alternate interior angles⇒y=60°Now consider △GSNBy angle sum property of △, we have∠NGS+∠GSN+∠SNG=180°⇒60°+110°+∠SNG=180°⇒∠SNG=180°-170°⇒∠SNG=10°And ∠SNG=∠NGU  Alternate interior angles⇒z=10°
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Solve this: Q.12. a) Find x and y in the given parallelogram. b. c.

Solve this:
Q.12. a) Find x and y in the given parallelogram.

b.

c.