Question

pls answer this one pls

Answer 1

Answer:

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Answer 2

Answer:

x = 29°

y = 106°

Step-by-step explanation:

Quadrilateral ABCD is a || gm because both the pairs of opposite sides are ||.

We know that in a ||gm opposite angles are equal. So,

<A = <C

=> x + 45° = 3x - 13°

=> 45° + 13° = 3x - x

=> 58° = 2x

=> 58°/2 = x

=> 29° = x

=> x = 29°

< A = x + 45°

<A = 29° + 45°

< A = 74°

<C = <A (Opposite Angles of ||gm are equal)

<C = 74°

<D + <C = 180° (Co - interior Angles)

<y + 74° = 180°

=> <y = 180° - 74°

=> <y = 106°

Therefore <D = 106°

<B = <D (Opposite Angles of ||gm are equal)

(Opposite Angles of ||gm are equal)<D = 106°

HOPE IT HELPS YOU.

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