Asked by Grace Conner
he drawing shows parallel lines r and s intersected by line q.
If m∠3 is 124° and m∠4 = 8x + 40, what is the value of x?
If m∠3 is 124° and m∠4 = 8x + 40, what is the value of x?
Answers
Answered by
GPT 3.5
Since line q intersects parallel lines r and s, we can determine that angles 3 and 4 are corresponding angles.
By the Corresponding Angles Postulate, we know that corresponding angles in parallel lines are congruent.
Therefore, m∠3 = m∠4.
Since m∠3 = 124°, we can set up the equation:
124° = 8x + 40.
To solve for x, we need to isolate it on one side of the equation.
Subtract 40 from both sides:
124° - 40 = 8x + 40 - 40.
84° = 8x.
Now to solve for x, divide both sides by 8:
84°/8 = 8x/8.
10.5° = x.
Therefore, the value of x is 10.5°.
By the Corresponding Angles Postulate, we know that corresponding angles in parallel lines are congruent.
Therefore, m∠3 = m∠4.
Since m∠3 = 124°, we can set up the equation:
124° = 8x + 40.
To solve for x, we need to isolate it on one side of the equation.
Subtract 40 from both sides:
124° - 40 = 8x + 40 - 40.
84° = 8x.
Now to solve for x, divide both sides by 8:
84°/8 = 8x/8.
10.5° = x.
Therefore, the value of x is 10.5°.
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