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I NEED HELP ON THIS BADLY PLEASE!!!! IM GIVING LOTS OF POINTS AND BRAINLIEST!!! This is due today so it would help so so much if someone can help me with this please

I NEED HELP ON THIS BADLY PLEASE IM GIVING LOTS OF POINTS AND BRAINLIEST This is due today so it would help so so much if someone can help me with this please class=

Respuesta :

saItair

Answer :

  • 105°

Explanation :

In a llgm, the sum of the angles on the same side ( adjacent angles ) is 180°.

i.e.

  • m∠CDA + m∠DAB = 180°
  • 75° + m∠DAB = 180°
  • m∠DAB = 180° - 75°
  • m∠DAB = 105°

thus, ∠DAB measures 105° .

msm555

Answer:

105

Step-by-step explanation:

Since AB || CD and BC || AD,

So, the given figure ABCD is a parallelogram.

Given:

  • m∠CDA = 75°

To find:

  • m∠DAB = ?

Solution:

In this case:

m∠CDA and m∠DAB are co interior angle.

Co-interior angles are a pair of non-adjacent interior angles that lie on the same side of a transversal intersecting two parallel lines. In a parallelogram, they are formed by the intersection of the transversal with one side of the parallelogram and an adjacent side.

And;

The sum of co-interior angles in a parallelogram is always 180°

So, we can say that:

m∠CDA + m∠DAB = 180°

Substitute the value:

75° + m∠DAB = 180°

Subtract 75° on both sides:

75° + m∠DAB - 75° = 180° - 75°

m∠DAB = 105°

Therefore, the answer is 105.

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