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Answer :
Certainly! Let's solve the problem step-by-step.
When parallel lines are cut by a transversal, certain angles have specific relationships. In this case, we are given two angles: [tex]\( (6x + 5)^\circ \)[/tex] and [tex]\( 48^\circ \)[/tex]. To figure out the value of [tex]\( x \)[/tex], we need to know that corresponding angles are equal when parallel lines are cut by a transversal.
Given that these two angles are corresponding angles, we set them equal to each other:
[tex]\[ 6x + 5 = 48 \][/tex]
Now, we solve for [tex]\( x \)[/tex] in the equation above.
1. Subtract 5 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 6x + 5 - 5 = 48 - 5 \][/tex]
Simplifying this, we get:
[tex]\[ 6x = 43 \][/tex]
2. Divide both sides by 6 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{43}{6} \][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( \frac{43}{6} \)[/tex].
When parallel lines are cut by a transversal, certain angles have specific relationships. In this case, we are given two angles: [tex]\( (6x + 5)^\circ \)[/tex] and [tex]\( 48^\circ \)[/tex]. To figure out the value of [tex]\( x \)[/tex], we need to know that corresponding angles are equal when parallel lines are cut by a transversal.
Given that these two angles are corresponding angles, we set them equal to each other:
[tex]\[ 6x + 5 = 48 \][/tex]
Now, we solve for [tex]\( x \)[/tex] in the equation above.
1. Subtract 5 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 6x + 5 - 5 = 48 - 5 \][/tex]
Simplifying this, we get:
[tex]\[ 6x = 43 \][/tex]
2. Divide both sides by 6 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{43}{6} \][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( \frac{43}{6} \)[/tex].
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