Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is .
Two angles are complements of one another if their sum is .
Let be the measure of the angle in question.
The supplement of this angle would be .
The complement of this angle would be .
According to the question:
.
Solve this equation for :
.
Thus, this angle would measure should .
The supplement of this angle would measure . The complement of this angle would measure .
Three times the complement of this angle would be , which is indeed greater than the supplement of this angle.
Step-by-step explanation:
6. angle 1 = angle 4 = 60deg (vertically opposite angles)
7. angle 3 = 180 - 40 - 60 = 80deg (angles on a straight line are supplementary)
8. angle 5 = angle 2 = 40deg (vertically opposite angles)
9. angle 6 = angle 3 = 80deg (vertically opposite angles)
10. angle 7 = angle 5 + angle 4 = 40 + 60 = 100deg (alternate angles, //lines)
11. angle 8 = 180 - 100 = 80deg (angles on a str line are supplementary)
12. angle 9 = 180 - 80 - 40 = 60deg (angles in a triangle)
13. angle 10 = 180 - 60 = 120deg (angles on a str line are supplementary)
14. angle 11 = angle 9 = 60deg (vertically opp angles)
15. angle 12 = angle 10 = 120deg (vertically opp angles)
Topic: angles
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Answer:
B
Step-by-step explanation:
the question asks you to order from least to greatest by the exponents. So it would be "B" because negative 6 is less then -5 and -5 is less then 1
Answer:
Step-by-step explanation:
Given: ∠N≅∠S, line l bisects TR at Q.
To prove: ΔNQT≅ΔSQR
Proof:
From ΔNQT and ΔSQR
It is given that:
∠N≅∠S (Given)
∠NQT≅∠SQR(Vertical opposite angles)
and TQ≅QR ( Definition of segment bisector)
Thus, by AAS rule,
ΔNQT≅ΔSQR
Hence proved.
Statement Reason
1. ∠N≅∠S given
2. ∠NQT≅∠SQR Vertical angles are congruent
3. line l bisects TR at Q. given
4. TQ≅QR Definition of segment bisector
5. ΔNQT≅ΔSQR AAS theorem
Hence proved.
Thus, option D is correct.
Divide 5 million by ten to get five hundred thousand. Five hundred thousand is the answer
Hope this helps!