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
Charra [1.4K]
3 years ago
14

Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.

Mathematics
2 answers:
vredina [299]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is \frac{1}{8} x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + \frac{1}{8}x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

Arte-miy333 [17]3 years ago
4 0

Answer:

m \angle 4 = 160 \°\\m \angle 6 = 20 \°

Step-by-step explanation:

From the graph, we can say that

m \angle 6 + m \angle 4 = 180 \°

Because they are consecutive interior angles, and they sum 180° by definition. So, the reason of third statement is "by definition of consecutive interior angles".

We already know that

m \angle 6 = \frac{1}{8} \times m \angle 4

But,

m \angle 6 + m \angle 4 = 180 \°\\m \angle 6 = 180\° - m \angle 4

Replacing this, we have

180\° - m \angle 4=\frac{1}{8}(m \angle 4)\\(\frac{1}{8}+1) (m\angle 4)=180\°\\\frac{9}{8}(m\angle 4) = 180 \°\\ m \angle 4 = \frac{180(8)}{9}= 160\°

Then,

m \angle 6 + m \angle 4 = 180 \°\\m \angle 6 + 160\° =180\°\\m \angle 6 = 180-160=20

Therefore, the measures of these two angles are

m \angle 4 = 160 \°\\m \angle 6 = 20 \°

You might be interested in
Helpppppppppppppppppppp
a_sh-v [17]
In order going down:
5 3/5
6 5/6
4 2/3
10 1/3
11 2/3
3 0
3 years ago
Find the mean, median, and mode of the data set. Round to the nearest tenth.
statuscvo [17]
The mean is the average of the data set. Median is the value that separates the higher half and the lower half of the set of values. Mode is the value that occurs often in the data set. Therefore, the correct answer is option A, <span>mean = 9.7, median = 10, mode = 15</span>
6 0
3 years ago
Read 2 more answers
Which number line correctly shows 4.5 - 2.5?
il63 [147K]

Answer:

number one

Step-by-step explanation:

if if 4.5 - 2.5 the answer is 2 that means the answer is number one

5 0
3 years ago
Read 2 more answers
Tara worked on her science fair project for 4 hours every day for 4 days. Which is the best
nirvana33 [79]
B. 16 because 4 times 4 is 16
7 0
3 years ago
Read 2 more answers
What is the product of (7.28 x 10-2). (9.1 x 10-2)?
tangare [24]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • a child is to receive a dose of 0.5 teaspoon of cough medicine every 6 hours. if the bottle contains 24 doses, how many days wil
    15·1 answer
  • Recall that Kiley waited for a period of time in the waiting area near the gate before boarding her plane. What percentage of he
    14·1 answer
  • Jordan spent a total of 14.85 on a trip to the zoo 2.85 on snacks and the rest on bus fares. How much did she spend on the bus f
    14·2 answers
  • given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes
    12·2 answers
  • M ∠CAD = _____.<br> what is the correct formula ?
    11·1 answer
  • 9
    10·2 answers
  • Transform the equation if necessary, and then solve it to find the value of x that makes the equation true.
    15·2 answers
  • Need help ASAP no rocky
    12·1 answer
  • Factorise fully (please help) ​
    12·1 answer
  • Determine which postulate or theorem can be used to prove that ABC A
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!