Question

its almost due. i will give brainliest to the correct answer

Answer 1

Answer:

• $\boldsymbol {x = 73^{\circ}}$

Explanation:

In the given figure,

${ \implies \boldsymbol { \angle x + \angle a+ \angle b} = {180}^{ \circ} \: \: \: \: \: [\rm\because Angle \: sum \: property \: ]}$

We are given with,

$\bullet \: \: \boldsymbol a = {89}^{ \circ}$

$\bullet \: \: \boldsymbol b = {18}^{ \circ}$

Substitute $\boldsymbol a$ and $\boldsymbol b$

${ \implies \boldsymbol { \angle x + {89}^{\circ} + {18}^{\circ} + = {180}^{ \circ} }}$

${ \implies \boldsymbol { \angle x + {107}^{\circ} = {180}^{ \circ} }}$

${ \implies \boldsymbol { \angle x = {180}^{ \circ} - {107}^{\circ} }}$

${ \implies \boldsymbol { \angle x = {73}^{ \circ} }}$

∴ The value of $\boldsymbol x$ is 73°

__________________________

Angle sum property of a triangle, says sum of all interior angles of a triangle adds upto 180°.

Answer 2

Given :-

• The angle a = 89° and angle b = 18°

To find :-

• What is the value of x

Formula Used :-

★$\: \color{magenta}{ \boxed{ \bf \: Sum \: of \: all \: angles_{(Triangle)} \: = \: 180°}}$

Solution :-

Given :

• ∠a = 89°
• ∠b = 18°

According to the question by using formula we get,

$\implies \: \bf Sum \: of \: all \: angles_{(Triangle)} \: = \: 180°$

$\implies \: \sf ∠a + ∠b + x\: = \: 180°$

$\implies \: \sf 89 \degree + 18 \degree + x\: = \: 180°$

$\implies \: \sf 107\degree + x\: = \: 180°$

$\implies \: \sf x\: = \: 180° - 107\degree$

$\implies \: \bf \red{ x\: = \: 73\degree }$

∴ The value of x in a given triange is 73° .

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