Question

HELP 100 POINTS WILL GIVE BRANLIEST IF ITS RIGHT LOOK IMAGE

Answer 1

The value of $m\angle2$ is $132$ and the value of $y$ is $30$.

19) In this question given that,

$m\angle1=x+10$

$m\angle2=3x+18$

We have to find the value of $m\angle2$.

As we know that the value of straight line is $180^o$.

From the given figure we can see that

$m\angle1+m\angle2=180^o$

Now putting the value of $m\angle1$ and $m\angle2$ in the $m\angle1+m\angle2=180^o$.

$x+10+3x+18=180^o$

Now simplifying the expression.

$4x+28=180^o$

Subtract $28$ on both side

$4x+28-28=180^o-28$

$4x=152$

Divide by $4$ on both side

$\frac{4}{4}x=\frac{152}{4}$

$x=38$

We have to find the value of $m\angle2$.

As we know that $m\angle2=3x+18$.

Now putting the value of $x$ in the given value of $m\angle2$.

$m\angle2=3\times38+18$

$m\angle2=114+18$

$m\angle2=132$

Hence, the value of $m\angle2$ is $132$.

20) In this question we have to find the value of $y$.

As we know that the value of straight line is $180^o$.

From the given figure we can see that

$2y^o+(3y+30)^o=180^o$

Now solving the expression to find the value of $x$.

$2y^o+3y^o+30^o=180^o$

Simplifying the expression.

$5y^o+30^o=180^o$

Subtract $30^o$ on both side

$5y^o+30^o-30^o=180^o-30^o$

Simplifying

$5y^o=150^o$

Divide by $5$ on both side

$\frac{5}{5}y^o=\frac{150^o}{5}$

$y^o=30^o$

Hence, the value of $y$ is $30$.

To learn more about angle link is here

brainly.com/question/28451077

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