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
Digiron [165]
3 years ago
14

What is the value of x?

Mathematics
2 answers:
krok68 [10]3 years ago
7 0

Now,

x + 80° + 55° = 180° (◆ The sum of interior

angle of triangle is

180°)

or, x = 180° - 135°

◆ x = 45°

it's help you...

Thank you♥♥

laiz [17]3 years ago
6 0

Answer:

The value of x is \boxed{\sf{{45}^{\circ}}}

Step-by-step explanation:

<h3><u>Solution</u> : </h3>

Here we have given two angles of triangle are 80⁰,55⁰.

We need to find the third angle of triangle (x).

  • As we know that the sum of interior angles of triangle is 180⁰.

Now, According to the question.

{\twoheadrightarrow{\sf{ \:  \: Sum \:  of \:  interior  \: angles = {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: {80}^{0} +  {55}^{0} + x= {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: {135}^{0} + x= {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: x= {180}^{0} - {135}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: x = {45}^{0}}}}

\star \:  \: {\underline{\boxed{\tt{\red{x =  {45}^{0}}}}}}

Hence, the value of x is 45⁰.

\begin{gathered}\end{gathered}

<h3><u>Verification</u> : </h3>

To verify, we'll add all angles of triangle and check the sum of triangle is 180⁰ or not.

{\twoheadrightarrow{\sf{ \:  \: Sum \:  of \:  interior  \: angles = {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: {80}^{0} + {55}^{0} + {45}^{0}= {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \: {135}^{0} + {45}^{0}= {180}^{0}}}}

{\twoheadrightarrow{\sf{ \:  \:{180}^{0}= {180}^{0}}}}

\star \:  \: {\underline{\boxed{\tt{\red{LHS = RHS}}}}}

Hence Verified!

\rule{300}{2.5}

You might be interested in
How does the shape of a cross-section of a 3D figure parallel to the base relate to the volume of the 3D figure?
Ket [755]

Answer:

The shape of each cross-section of a 3D figure,  relates to the volume because the area of the cross-section is determined by its shape and the area of this cross section is in the sum that calculates the volume of this 3D figure.

Step-by-step explanation:

An infinite sum of all the all the cross-sections of a 3D figure parallel to the base equals the volume of that 3D figure.

3 0
3 years ago
The table shows the weights and costs of various wood purchases.
White raven [17]
You have to add then subtract
3 0
3 years ago
Read 2 more answers
2(3x – 4)= -2(x - 2
vesna_86 [32]

Answer:

2(3x-4)=-2(x-2)

6x-8=-2x+4

6x+2x=4+8

8x=12

x=12/8

x=3/2 or x=1.5

8 0
3 years ago
Read 2 more answers
Please help me out!!! :)
alexgriva [62]

Answer:

x = 26°

Step-by-step explanation:

The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller

x = \frac{1}{2} (66° - 14°) = 0.5 × 52° = 26°

8 0
4 years ago
Y= |x−3| + |x+2| − |x−5|, if x&gt;5<br> I need to know what y equals.
olganol [36]

Answer:

y  \ge9

Step-by-step explanation:

The given function is

y =  |x - 3|   +  |x  + 2|  -  |x - 5|

By the triangle inequality property,

|x + y|  \leqslant  |x|  +  |y|

and the alternate triangle inequality property;

|x - y|  \geqslant  |x|  -  |y|

We apply this property to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  -(  |x |  -  |5| )

Expand parenthesis to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  - |x |   +   |5|

Simplify to get:

y  \geqslant   |x |    - 3+  |x |  +  2- |x |   +   5

Group similar terms to get:

y  \geqslant   |x |  +   |x | - |x |    - 3 + 2+   5

y  \geqslant   |x |   + 4

When x>5,

y  \geqslant   |5 |   + 4

That's;

y  \geqslant   5  + 4   \\ y  \geqslant   9

5 0
3 years ago
Other questions:
  • 5 hundreds x 10 = hundreds =
    5·2 answers
  • What is the sign of the product (−4)(6)(9)(3)?
    14·2 answers
  • Somenone help im faling horribly there is two qestion I need help on any one know both
    10·1 answer
  • Can someone explain to me how to solve inequalities with variables on both sides
    12·1 answer
  • In which city is the temperature higher ? Portland- 38°F Boston- 2°C​
    5·1 answer
  • Classification of respondents only on the basis of gender is an application of Select one:
    14·1 answer
  • Quadrilateral ABCD has the following vertics:A( -3,0) B (7,2) C (1,-4) D (-9,-6) is Quadrilateral A B C D a parallelgram, and wh
    7·1 answer
  • Tony is 3 years less than twice Joan’s age. Tony is 27 years old. How old is Joan?
    8·2 answers
  • How do you do this geometry question?
    5·2 answers
  • Figure out the combination. Use the story in the white box as a hint.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!