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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]

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