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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Angles 3, 4, and 5 are supplementary to each other, meaning that all of them added together equal 180. Therefore, to solve for x:
x + 18 + x + 15 + 4x + 3 = 180 and
6x + 36 = 180 and
6x = 144 so
x = 24
Angles 1 and 3 are vertical angles, so they are congruent, meaning they both have the exact same angle measure. If angle 3 measures, x + 18, so does angle 1. If x = 24, then angle 1 = 24 + 18 which is 42 degrees.
That also answered part c. Angles 1 and 3 are not complementary, they are vertical.
Answer:
4 and 8
Step-by-step explanation:
Let 'a' represent one of the numbers. Then the other is 12-a, and their difference is ...
a - (12-a) = -4
2a = 8 . . . . add 12
a = 4 . . . . . divide by 2
12-a = 8 . . . . find the other number
The two numbers are 4 and 8.
Alright sure:
Q5: ∠3
Q6: ∠1
Q7: ∠2
Q8: x = 25
Q9: x = 63
For Questions 8 and 9 what I did was find out the supplementary angle adjacent to the exterior angle.
8: 180° in a supp. angle. So 180-105 = 75. To make a triangle it has to be 180°. So 180 - 75-80 = 25 So x=25
9: 180° in a supp. angle. So 180-135 = 45. To make a triangle it has to be 180°. So 180 - 45-72 = 63. So x=63
Let me know if you don't understand that. If you don't get it I'll explain it further for you.
