Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What is the value of x?

What Is The Value Of X class=

Sagot :

Ujjwal11

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♥♥

AadhPrit

Answer:

The value of x is [tex]\boxed{\sf{{45}^{\circ}}}[/tex]

Step-by-step explanation:

Solution :

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.

[tex]{\twoheadrightarrow{\sf{ \: \: Sum \: of \: interior \: angles = {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: {80}^{0} + {55}^{0} + x= {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: {135}^{0} + x= {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: x= {180}^{0} - {135}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: x = {45}^{0}}}}[/tex]

[tex]\star \: \: {\underline{\boxed{\tt{\red{x = {45}^{0}}}}}}[/tex]

Hence, the value of x is 45⁰.

[tex]\begin{gathered}\end{gathered}[/tex]

Verification :

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

[tex]{\twoheadrightarrow{\sf{ \: \: Sum \: of \: interior \: angles = {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: {80}^{0} + {55}^{0} + {45}^{0}= {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \: {135}^{0} + {45}^{0}= {180}^{0}}}}[/tex]

[tex]{\twoheadrightarrow{\sf{ \: \:{180}^{0}= {180}^{0}}}}[/tex]

[tex]\star \: \: {\underline{\boxed{\tt{\red{LHS = RHS}}}}}[/tex]

Hence Verified!

[tex]\rule{300}{2.5}[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.