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
nasty-shy [4]
2 years ago
9

A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

You might be interested in
PLS HELO THANK YOUUUUU
baherus [9]

Answer:

divide 500 by 125.

You get 4x = 568

Answer is 142

Happy Learning

3 0
2 years ago
Answer asap
balandron [24]

Answer:

A

Step-by-step explanation:

went up a positive 4 points:)

7 0
3 years ago
Please help me
madreJ [45]
143.44 degrees
Hope this helps (:
7 0
2 years ago
What is the value of x?
kari74 [83]

Answer:

4

Step-by-step explanation:

I took the quiz, here's proof

4 0
3 years ago
Solve the quadratic equation. Write your solutions in the blanks, starting with the smaller value.
Klio2033 [76]

Answer:

x = 2 Or

x = -2

Step-by-step explanation:

Check attachment

8 0
3 years ago
Other questions:
  • The perimeter of a rectangle is 338, if the ratio of the length to the width is 8:5, find the length
    13·1 answer
  • A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
    9·1 answer
  • Which of the following ordered pairs represents a solution to the linear inequality y&lt;6x-4? A. (0,3) B.(0,11) C. (0,-5) D.(0,
    7·1 answer
  • Please explain!!!!!!!!!!!!!!
    12·2 answers
  • Number 13<br> 8x1+3x-10=5x+15
    10·1 answer
  • Solve the equation.
    7·2 answers
  • Find the value of x to the nearest tenth
    14·1 answer
  • Someone please help
    15·1 answer
  • Show two ways fivepeople cans hare a 3-segmant chewy fruit worm
    7·2 answers
  • The perimeter of a rectangular garden is 296 m. If the width of the garden is 62 m, what is its length? PLEASE ANSWER ASAP.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!