Question

What is the value of x?

Answer 1

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♥♥

Answer 2

Answer:

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

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.

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

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

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

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

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

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

Hence, the value of x is 45⁰.

$\begin{gathered}\end{gathered}$

Verification :

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!

$\rule{300}{2.5}$