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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