Question

Find the values of x and y in the figure. pls answer my question fastly
​

Answer 1

Answer:

• x = 70°
• y = 40°

Explanation:

In the given figure,

${ \implies \boldsymbol{ {y}^{ \circ} } + {140}^{ \circ } = {180}^{ \circ} \sf \: [\because Linear \: pair ]}$

Solving for $\boldsymbol{y}$

${ \implies \boldsymbol{ {y}^{ \circ} } + {140}^{ \circ } = {180}^{ \circ} }$

${ \implies \boldsymbol{ {y}^{ \circ} } = {180}^{ \circ} } - {140}^{ \circ }$

${ \implies \boldsymbol{ {y}^{ \circ} } = {40}^{ \circ } }$

Now,

We know that,

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

$\therefore \: \boldsymbol{x = y + {30}^{ \circ} }$

Solving further,

$\implies \: \boldsymbol x = {40}^{ \circ} + {30}^{ \circ}$

$\implies \: \boldsymbol x = {70}^{ \circ}$

$\therefore \: \boldsymbol x = {70}^{ \circ}$

Answer 2

Answer:

y°=180-140=40

30°+40°=x°

x°=70°

is the correct answer