In the diagram below Bd is parallel to XY . what is the value of x
2 answers:
Answer: The correct option is (B) 60.
Step-by-step explanation: Given that the line BD is parallel ti the line XY.
We are to find the value of x.
We know that
if two parallel lines are cut by a transversal, then the measures of the alternate interior angles are equal.
In the given figure, BD is parallel to XY and they are cut by a transversal.
So, the angles with measures x° and 60° are alternate interior angles.
Therefore, we must have
Thus, the value of x is 60.
Option (B) is CORRECT.
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<h2>(1)</h2><h2> =(a+b)(3c-d)</h2><h2> =a(3c-d)+b(3c-d)</h2><h2> =3ac-ad+3bc-bd</h2><h2>(2)</h2><h2> =(a-b)(c+2d)</h2><h2> =a(c+2d)-b(c+2d)</h2><h2> =ac+2ad-bc-2bd</h2><h2>(3)</h2><h2> =(a-b)(c-2d)</h2><h2> =a(c-2d)-b(c-2d)</h2><h2> =ac-2ad-bc+2bd</h2><h2>(4)</h2><h2> =(2a+b)(c-3d)</h2><h2> =2a(c-3d)+b(c-3d)</h2><h2> =2ac-6ad+bc-3bd</h2>
