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
Alexxandr [17]
3 years ago
13

In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:

Mathematics
2 answers:
dlinn [17]3 years ago
6 0

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

m\angle 1 = 180\degree- 160\degree

\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}

Alternate method:

m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]

\implies m\angle 1 = 180\degree- [360\degree-200\degree]

\implies m\angle 1 = 180\degree- 160\degree

\implies m\angle 1 = 20\degree

Feliz [49]3 years ago
3 0

Answer:

m∠1 = 20°

Step-by-step explanation:

<u>Alternate interior angle theorem (z-angles)</u>: when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.

Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).

Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)

Sum of interior angles of a quadrilateral = 360°

⇒ x + 40° + 70° + 90° = 360°

⇒ x + 200° = 360°

⇒ x = 160°

Angles on a straight line add up to 180°

⇒ x + m∠1 = 180°

⇒ 160° + m∠1 = 180°

⇒ m∠1 = 20°

You might be interested in
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total
____ [38]

Answer:

Kyle’s fixed monthly salary in dollars is $1800

Step-by-step explanation:

let a be the fixed monthly salary

let b% represent the fixed percentage of sales

a+(b%*15000)=2550

a+(b%*25000)=3050

a+(b/100*15000)=2550

a+150b=2550

a+(b/100*25000)=3050

a+250b=3050

now we have

a+150b=2550

a+250b=3050

let subtract a+150b=2550 from a+250b=3050

100b=500

b=500/100=5%

then a+(5%*15000)=2550

      a+750=2550

      a=2550-750=$1800

8 0
3 years ago
2x + 3<br> 25°<br> S<br> Q<br> 3x – 170
Tpy6a [65]

Answer:

no idea what to find would you please like to explain about this question

6 0
3 years ago
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of
const2013 [10]

Answer:

4%

Step-by-step explanation:

\frac{part}{entirety} *100

\frac{397}{9925} *100 =4

4 0
2 years ago
A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $
koban [17]

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

5 0
2 years ago
A store pays $29.99 for a pair of jeans. The percent of markup is 20%. What is the selling price, including markup, for 5 pairs
Zanzabum

Answer:

$179.94  for 5 pairs of jeans

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Will Brown who pays weekly union dues of $3.00 earns $289 per week his federal income tax a$39.13 and his Rica tax is 6.2% he pa
    6·1 answer
  • *use a 2 proof column to answer*
    10·1 answer
  • A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercept
    11·2 answers
  • - 2X +3Y=7<br> 5x+8y=-2<br> Solution=(_,_)
    9·1 answer
  • What is the remainder of the following division problem
    15·2 answers
  • Is this statement true or false?
    8·1 answer
  • Terri is rewriting 7^13 in expanded form. How many factors should she use in her expression?
    11·2 answers
  • There are about 0.62 miles in a kilometer. How many kilometers long is a 95-mile drive? Round your answer to the nearest tenth o
    8·1 answer
  • The first term of a geometric sequence
    11·1 answer
  • The multiplication table below can be used to find equivalent ratios. A multiplication table. Which ratio is equivalent to the r
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!