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If p ll q, m <7= 131°, and m<16 = 88°, find the measure of each missing angle.
a. m<1=
b. m<2=
c. m<3=
d. m<4 =
e. m<5 =
f. m<6 =
g. m<8=
h. m<9 =
i. m<10=
j. m<11=
k. m<12 =
I. m<13 =
m. m <14 =
n. m <15 =

If p ll q m lt7 131 and mlt16 88 find the measure of each missing angle a mlt1 b mlt2 c mlt3 d mlt4 e mlt5 f mlt6 g mlt8 h mlt9 i mlt10 j mlt11 k mlt12 I mlt13 class=

Respuesta :

frika

Answer:

[tex]m\angle 1=m\angle 3=m\angle 5=m\angle 7=131^{\circ}[/tex]

[tex]m\angle 2=m\angle 4=m\angle 6=m\angle 8=49^{\circ}[/tex]

[tex]m\angle 9=m\angle 11=m\angle 13=m\angle 15=92^{\circ}[/tex]

[tex]m\angle 10=m\angle 12=m\angle 14=m\angle 16=88^{\circ}[/tex]

Step-by-step explanation:

1.

Angles 7 and 5 are corresponding, then

[tex]m\angle 5=m\angle 7=131^{\circ}[/tex]

Angles 7 and 2 are supplementary, then

[tex]m\angle 2=180^{\circ}-131^{\circ}=49^{\circ}[/tex]

Angles 1 and 7 are vertical, so

[tex]m\angle 1=m\angle 7=131^{\circ}[/tex]

Angles 2 and 8 are vertical, so

[tex]m\angle 2=m\angle 8=49^{\circ}[/tex]

Angles 2 and 4 are corresponding, then

[tex]m\angle 2=m\angle 4=49^{\circ}[/tex]

Angles 1 and 3 are corresponding, then

[tex]m\angle 1=m\angle 3=131^{\circ}[/tex]

Angles 8 and 6 are corresponding, then

[tex]m\angle 6=m\angle 8=49^{\circ}[/tex]

Thus,

[tex]m\angle 1=m\angle 3=m\angle 5=m\angle 7=131^{\circ}[/tex]

[tex]m\angle 2=m\angle 4=m\angle 6=m\angle 8=49^{\circ}[/tex]

2.

Angles 16 and 14 are corresponding, then

[tex]m\angle 16=m\angle 14=88^{\circ}[/tex]

Angles 16 and 15 are supplementary, then

[tex]m\angle 15=180^{\circ}-88^{\circ}=92^{\circ}[/tex]

Angles 16 and 10 are vertical, so

[tex]m\angle 10=m\angle 16=88^{\circ}[/tex]

Angles 9 and 15 are vertical, so

[tex]m\angle 9=m\angle 15=92^{\circ}[/tex]

Angles 15 and 13 are corresponding, then

[tex]m\angle 13=m\angle 15=92^{\circ}[/tex]

Angles 10 and 12 are corresponding, then

[tex]m\angle 12=m\angle 10=88^{\circ}[/tex]

Angles 9 and 11 are corresponding, then

[tex]m\angle 9=m\angle 11=92^{\circ}[/tex]

Thus,

[tex]m\angle 9=m\angle 11=m\angle 13=m\angle 15=92^{\circ}[/tex]

[tex]m\angle 10=m\angle 12=m\angle 14=m\angle 16=88^{\circ}[/tex]

xero099

The measure of each missing angle is:

  1. [tex]m\angle 1 = 131^{\circ}[/tex].
  2. [tex]m\angle 2 = 49^{\circ}[/tex].
  3. [tex]m\angle 3 = 131^{\circ}[/tex].
  4. [tex]m\angle 4 = 49^{\circ}[/tex].
  5. [tex]m\angle 5 = 131^{\circ}[/tex].
  6. [tex]m\angle 6 = 49^{\circ}[/tex].
  7. [tex]m\angle 7 = 131^{\circ}[/tex].
  8. [tex]m\angle 8 = 49^{\circ}[/tex].
  9. [tex]m\angle 9 = 92^{\circ}[/tex].
  10. [tex]m\angle 10 = 88^{\circ}[/tex].
  11. [tex]m\angle 11 = 92^{\circ}[/tex].
  12. [tex]m\angle 12 = 88^{\circ}[/tex].
  13. [tex]m\angle 13 = 92^{\circ}[/tex].
  14. [tex]m\angle 14 = 88^{\circ}[/tex].
  15. [tex]m\angle 15 = 92^{\circ}[/tex].
  16. [tex]m\angle 16 = 88^{\circ}[/tex]

In this question we are going to show the demonstration of every angle in the system given in the figure.

  1. [tex]p\parallel q[/tex], [tex]m\angle 7 = 131^{\circ}[/tex], [tex]m\angle 16 = 88^{\circ}[/tex] Given.
  2. [tex]m\angle 2 = m\angle 8 = 49^{\circ}[/tex]. Supplementary angles.
  3. [tex]m\angle 1 = 131^{\circ}[/tex]. Supplementary angles/Vertical angles.
  4. [tex]m\angle 10 = 88^{\circ}[/tex] Vertical angles.
  5. [tex]m \angle 9 = m\angle 15 = 92^{\circ}[/tex] Supplementary angles.
  6. [tex]m\angle 2 = m\angle 4 = 49^{\circ}[/tex] Corresponding angles.
  7. [tex]m\angle 1 = m\angle 3 = 131^{\circ}[/tex] Corresponding angles.
  8. [tex]m\angle 6 = m\angle 8 = 49^{\circ}[/tex] Corresponding angles.
  9. [tex]m\angle 5 = m\angle 7 = 131^{\circ}[/tex] Corresponding angles.
  10. [tex]m\angle 9 = m\angle 11 = 92^{\circ}[/tex] Corresponding angles.
  11. [tex]m\angle 10 = m\angle 12 = 88^{\circ}[/tex] Corresponding angles.
  12. [tex]m\angle 14 = m\angle 16 = 88^{\circ}[/tex] Corresponding angles.
  13. [tex]m\angle 13 = m\angle 15 = 92^{\circ}[/tex] Corresponding angles.

We kindly invite to check this question on angles: https://brainly.com/question/17581080

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