1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maria [59]
3 years ago
13

In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer/Step-by-step explanation:

Given:

m<9 = 80°,

m<5 = 68°

Lines w and v are parallel to each other.

m<1 = m<9 (corresponding angles theorem)

m<1 = 80°

m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

m<2 = 100°

m<3 = m<1 (vertical angles are congruent)

m<3 = 80°

m<4 = m<2 (vertical angles are congruent)

m<4 = 100°

m<6 + m<5 = 180° (linear pair)

m<6 + 68° = 180° (substitution)

m<6 = 180° - 68°

m<6 = 112°

m<7 = m<5 (vertical angles)

m<7 = 68°

m<8 = m<6 (vertical angles)

m<8 = 112°

m<10 = m<2 (corresponding angles)

m<10 = 100°

m<11 = m<9 (vertical angles)

m<7 = 80°

m<12 = m<10 (vertical angles)

m<12 = 100°

m<13 = m<5 (corresponding angles)

m<13 = 68°

m<14 = m<6 (corresponding angles)

m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

m<16 = m<14 (vertical angles)

m<16 = 112°

You might be interested in
( − 35 − 42 − 63 ) ∶ ( + 7 )
olga nikolaevna [1]

(-35-42-63)/7= (-140)/7=-20

7 0
2 years ago
Please give me correct answer and fast answer it if know answer only
Stolb23 [73]

Answer:

Approximatley 5.8 units.

Step-by-step explanation:

We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:

\frac{\sin(A)}{a}=\frac{\sin(B)}{b} =\frac{\sin(C)}{c}

Replacing them with the respective variables, we have:

\frac{\sin(S)}{s} =\frac{\sin(T)}{t} =\frac{\sin(R)}{r}

Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:

\frac{\sin(20)}{s}=\frac{\\sin(17)}{5}

Solve for <em>s</em>, the unknown side. Cross multiply:

\frac{\sin(20)}{s}=\frac{\sin(17)}{5}\\5\sin(20)=s\sin(17)\\s=\frac{5\sin(20)}{\sin(17)} \\s\approx5.8491\approx5.8

6 0
3 years ago
Read 2 more answers
Help me solve this paper mathematical
Murrr4er [49]
I wish i can help you
7 0
3 years ago
Help pleaseeeeee help help help
Kamila [148]

Answer:


Step-by-step explanation:

46-32 x 5/9 = 7.8

82-32x 5/9 = 27.8


8 0
3 years ago
A. 17 <br> B. 12<br> C. 10 <br> D. 14
Sonbull [250]
It might be A i think
3 0
3 years ago
Read 2 more answers
Other questions:
  • Ben's Auto Dealer had a sale on Saturday for its new cars. By 10 a.m. 30% of the new cars had been sold. What decimal represents
    6·2 answers
  • el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista
    7·1 answer
  • What value of a makes the equation true?
    13·1 answer
  • What is an asymptote? ...?
    6·2 answers
  • What is greater 6.67 or 6.670
    7·1 answer
  • Is it possible for one point to be in two different planes?
    14·2 answers
  • Question Progress
    12·1 answer
  • 1 + 3 - (8 * 334 * 123) = x<br><br> x = ?
    7·1 answer
  • GIVING BRANLIEST
    9·1 answer
  • Interpret (1,15)<br><br> interpret (4,60)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!