In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?
A) 79° B) 81° C) 83° D) 86°
2 answers:
Answer:
B) 81°
Step-by-step explanation:
Given:
From the figure given below,
∠1 = 3x + 18
∠7 = 2x + 39
∠1 and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.
Therefore, the angles 1 and 7 are congruent to each other. This gives,
∠1 ≅ ∠7
Therefore, the value of 'x' is 21.
Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,
Therefore, the correct option is option (B).
You might be interested in
Answer:
8.4 dollars
Step-by-step explanation:
The error is in the resolution of the proportion. In fact, the initial proportion is correct:
where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:
- Multiplying by x on both sides:
- Multiplying by 3.5 no both sides:
And now we can find x:
So, the total cost is 8.4 dollars.
