Mathematics, 01.10.2019 04:00 charlottiechecketts0

In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s) or theorem (s) you used.
look at the !

In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s)

Answers: 3

Show answers

Answers

Answer from: brenmichelle24

The measure of the given angles and the theorem used to find each are:

11. $\mathbf{m \angle 10 = 92^{\circ}}$ - corresponding angles theorem

12. $\mathbf{m \angle 8 = 92^{\circ}}$ - vertical angles theorem

13. $\mathbf{m \angle 9 = 106^{\circ}}$ - same-side exterior angles theorem

14. $\mathbf{m \angle 5 = 106^{\circ}}$ - same-side interior angles theorem

15. $\mathbf{m \angle 11 = 106^{\circ}}$ - corresponding angles theorem

16. $\mathbf{m \angle 13 = 106^{\circ}}$ - vertical angles theorem

The relative position that angles formed when a transversal cuts across two lines determines the type of angle pairs two angles are and the theorem that applies for each pair.

Given:

m<2 = 92m<12 = 74

11. m<2 and m<10 are corresponding angles.

Based on the corresponding angles theorem, m<2 = m<10

$\mathbf{m \angle 10 = 92^{\circ}}$

12. m<8 and <2 are vertical angles.

Based on the vertical angles theorem, m<8 = m<2

$\mathbf{m \angle 8 = 92^{\circ}}$

13. m<9 and <12 are same-side exterior angles.

Based on the same-side exterior angles theorem, m<9 = 180 - m<12

$m \angle 9 = 180 - 74\\\\\mathbf{m \angle 9 = 106^{\circ}}$

14. m<5 and <12 are same-side interior angles.

Based on the same-side interior angles theorem, m<5 = 180 - m<12

$m \angle 5 = 180 - 74\\\\\mathbf{m \angle 5 = 106^{\circ}}$

15. m<11 and m<9 are corresponding angles.

Based on the corresponding angles theorem, m<11 = m<9

$\mathbf{m \angle 11 = 106^{\circ}}$

16. m<13 and <11 are vertical angles.

Based on the vertical angles theorem, m<13 = m<11

$\mathbf{m \angle 13 = 106^{\circ}}$

In summary, the measure of the given angles and the theorem used to find each are:

11. $\mathbf{m \angle 10 = 92^{\circ}}$ - corresponding angles theorem

12. $\mathbf{m \angle 8 = 92^{\circ}}$ - vertical angles theorem

13. $\mathbf{m \angle 9 = 106^{\circ}}$ - same-side exterior angles theorem

14. $\mathbf{m \angle 5 = 106^{\circ}}$ - same-side interior angles theorem

15. $\mathbf{m \angle 11 = 106^{\circ}}$ - corresponding angles theorem

16. $\mathbf{m \angle 13 = 106^{\circ}}$ - vertical angles theorem

Learn more here:

link

Answer from: carlydays3331

$\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°$

Step-by-step explanation:

In the figure $m \parallel n$ , and r and s are transversal that intercept those parallels.

Now, from the each interception of each transversal we have 8 angles related.

$\angle 1, \angle 2, \angle 7, \angle 8, \angle 9, \angle 10, \angle 16, \angle 15$ , all these angles are related.

$\angle 3, \angle 4, \angle 5, \angle 6, \angle 11, \angle 12, \angle 13, \angle 14$ , all these angles are related.

By corresponding angles, we have the following congruence

$\angle 2 \cong \angle 10$

This means that

$\angle 10 = \angle 2= 92\°$

$\angle 9 = 180\° - \angle 10$ , by supplementary angles.

$\angle 9= 180\°-92\°=88\°$

$\angle 8 = \angle 2$ , by vertical angles theorem.

$\angle 8= 92$

$\angle 5 = \angle 11$ , by alternate interior angles.

$\angle 11=180\° - \angle 12$ , by supplementary angles.

$\angle 11= 180\°-74\°=106\°$

$\angle 5=106\°$

$\angle 13 = \angle 11$ , by vertical angles theorem.

$\angle 13 = 106\°$

Therefore, the answers are

$\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°$

Answer from: Quest

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

Answer from: Quest

goog may be able to you find that answer

Which table represents a linear function?

Another question on Mathematics

Mathematics, 21.06.2019 18:10

Which points are solutions to the linear inequality y < 0.5x + 2? check all that apply. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2) (1, 2)

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.

Answers: 2

Answer

Mathematics, 22.06.2019 00:20

Jubal wrote the four equations below. he examined them, without solving them, to determine which equation has no solution. which of jubal’s equations has no solution hurry

Answers: 1

Answer

You know the right answer?

In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s)...

Questions