The measurement of angles are :
- Angle 1 is 123°
- Angle 2 is 57°
- Angle 4 is 123°
- Angle 5 is 123°
- Angle 6 is 57°
- Angle 7 is 57°
- Angle 8 is 123°
Given,
The figure with parallel lines.
Angle 3 is given as 57°
We have to find the other angles.
∠1 + ∠3 = 180° ; Sum of transversal angles is 180°
So,
∠1 = 180 - 57 = 123°
∠2 = ∠3 ; Vertical angles are ≅
So, ∠2 = 57°
∠1 = ∠4 ; Vertical angles are ≅
So, ∠4 = 123°
∠1 = ∠5 ; Corresponding angles are ≅
So, ∠5 = 123°
∠2 = ∠6 ; Corresponding angles are ≅
So, ∠6 = 57°
∠6 = ∠7 ; Vertical angles are ≅
So, ∠7 = 57°
∠5 = ∠8 ; Vertical angles are ≅
So, ∠8 = 123°
Learn more about angles here;
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Answer:
I've pretty much already solved this, in my discussion above:
| 3 | = 3
| –3 | = 3
So then x must be equal to 3 or equal to –3.
But how am I supposed to solve this if I don't already know the answer? I will use the positive / negative property of the absolute value to split the equation into two cases, and I will use the fact that the "minus" sign in the negative case indicates "the opposite sign", not "a negative number".
For example, if I have x = –6, then "–x " indicates "the opposite of x" or, in this case, –(–6) = +6, a positive number. The "minus" sign in "–x" just indicates that I am changing the sign on x. It does not indicate a negative number. This distinction is crucial!
Whatever the value of x might be, taking the absolute value of x makes it positive. Since x might originally have been positive and might originally have been negative, I must acknowledge this fact when I remove the absolute-value bars. I do this by splitting the equation into two cases. For this exercise, these cases are as follows:
a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without changing its sign, giving me the equation x = 3.
b. If the value of x was negative to start with, then I can bring that value out of the absolute-value bars by changing the sign on x, giving me the equation –x = 3, which solves as x = –3.
Then my solution
Equation: 15 + 6t = 81
Work: 15 + 6t = 81
-15 -15
6t = 66
t = 11
Answer:
Italy won the golf competition.
Step-by-step explanation:
Italy: -3 + 4 + 5 + -5 + 3 + -5 + 6 + -3 + -3
Total: -1
Russia:-4 + 5 + -6 + 4 + 4 + 6 + -3 + -3 + -5
Total: -2
Answer:
Step-by-step explanation:
