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
BlackZzzverrR [31]
3 years ago
15

One angle of a triangle is 50 degrees greater than the smallest​ angle, and the third angle is 10 degrees less than twice the sm

allest angle. find the measures of the three angles.
Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0
By the Triangle Angle-Sum theorem, the angles of a triangle add up to 180, no matter what kind of a triangle it is.  Now we just have to determine how to identify each angle according to the info we have.  It looks like all 3 angles are dependent upon the measure of the smallest angle, so we will call the smallest angle x.  The second angle is 50 degrees more than the smallest, so the second angle is x + 50.  The third angle is 10 degrees less than 2 times the smallest angle, so the third angle is 2x-10.  We will add all those together and set them equal to 180.  x+x+50+2x-10=180.  Combining like terms we have 4x+40=180, and 4x = 140.  x = 35.  So the smallest angle measures 35.  The second one is 50 more, so the second one is 85.  The third one is 10 less than twice the smallest, so the third angle is 60.  Add those results together and make sure they come to 180.  They do!
tia_tia [17]3 years ago
6 0
All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.

Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10

50+x+x+2x-10=180
4x+40=180
4x=140
x=35

Angle 1 = 50+35= 85
Angle 2 = 35
Angle 3 = 2(35) - 10 = 60

60+35+85=180

You might be interested in
What is the slope of the line through (-1,2) and (-3,-2)?​
Morgarella [4.7K]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
How do I find the area of a triangle with a base of 3 and height of 6
Schach [20]
You can multiply 3 and 6 together then divide the product by 2
(6*3)/2=18/2=9
6 0
3 years ago
Is 7/8 the right answer
kari74 [83]
Yes you would be correct!
6 0
3 years ago
Read 2 more answers
Which sequences are geometric? check all that apply.
iVinArrow [24]
It’s probably most definitely the third one but I really don’t know.
4 0
2 years ago
What is 16million ×64 no using calculator
SIZIF [17.4K]
<span>one billion twenty-four million</span>
6 0
3 years ago
Other questions:
  • Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm a
    13·2 answers
  • How long does it take to lewis hamilton travelling at 150mph to cover 15 miles?
    14·1 answer
  • The solution of 4(x + 1) = 4(2 – x)
    11·2 answers
  • Which expression(s) result(s) in negative answer(s), when simplified?
    7·1 answer
  • The science club is going to the space museum. The club consists of 27 students. If admission costs $6.50 for children ages 4-11
    9·1 answer
  • If the original quantity is 10 and the new quantity is 12, what is the percent increase?
    5·1 answer
  • 875 × 36 I'll crown and give five stars if you say the solving steps​
    11·1 answer
  • Write in point-slope form an equation for the line through
    12·1 answer
  • Help fast I'm dum
    7·2 answers
  • Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!