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
Zepler [3.9K]
3 years ago
5

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

What are the measures of the two interior angles?
Mathematics
1 answer:
liberstina [14]3 years ago
7 0

<u>Answer:</u>

A building makes a 90^{\circ} angle with the ground .The two interior angles are 70^{\circ} and 20^{\circ}

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of 110^{\circ}

And building makes a  90^{\circ} angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.  

Now, we know that, sum of exterior angles and interior angles equals to 180^{\circ}

Here, in the case of ground and ladder, exterior angle is 110^{\circ} and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = 70^{\circ}

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = 20^{\circ}

Hence the two interior angles are  70^{\circ} and 20^{\circ}

You might be interested in
Expand and simplify (x+1)(x+6)
lorasvet [3.4K]

Answer:

x^{2}+7x+6

Good luck!

3 0
3 years ago
Read 2 more answers
What is the coefficient of fourth term of (-x -3)^5​
Alex_Xolod [135]

Answer:

it is 5

Step-by-step explanation:

7 0
3 years ago
student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at la
erik [133]

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720                    (1)

A + B = 120                                          (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

4 0
3 years ago
Read 2 more answers
NEED HELP MY Son needs it 4⅔ x13
Lana71 [14]

Answer:

182/3

60.67

hope it's helpful ❤❤❤❤

THANK YOU.

#

❤

4 0
2 years ago
Read 2 more answers
At the city museum, child admission is
Irina18 [472]
You have to multiply ......... and use 186 and divide. i think.
5 0
3 years ago
Other questions:
  • Anyone know how to do this?
    13·1 answer
  • A square rug has an area of 225ft. How long is each side of the rug?
    5·1 answer
  • Complete the statement 10/7 x __= 1
    9·1 answer
  • I need help on 5 ONLY
    9·1 answer
  • (sqrt(6))/(8+\sqrt(10))
    13·1 answer
  • What is the equivalent expression to 7/5y.
    14·1 answer
  • Solve number 4 please
    9·1 answer
  • Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his scor
    9·1 answer
  • If x+y = 12 and xy = 14, find the value of (x2 + y2).
    9·2 answers
  • Can someone help please?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!