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zavuch27 [327]
3 years ago
12

Given that AD and BC are parallel, find the value of x.

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

Therefore the value of x is 15.

Step-by-step explanation:

Given:

AD || BC

m∠ B = (9x + 15)°

m∠ A = (3x - 15)°

To Find:

x = ?

Solution:

AD || BC       ...............Given

If two lines are parallel and sum of the interior angles are supplementary.

i.e m∠ B and m∠ A are interior between Parallel lines.

∴ \angle B + \angle C =180\\

Substituting the given values we get

∴ (9x + 15)+( 3x - 15)=180\\12x=180\\\\x=\frac{180}{12} \\\\\therefore x =15

Therefore the value of x is 15.

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