Question

Find x.
I need the answer with the steps please.​

Answer 1

Answer:

5x-20 + 2x-10 = 180

$sum \: of \: cointerior \: angle \: equa \: to \: 180$

7x-30=180

7x= 180+30

7x=210

X=30

Answer 2

$\huge \text{Question - }$

Find x .

$\huge \text{Answer - }$

We know that the sum of interior angle on the same side of transversal is supplementary angle which is equal to 180 degree .

hence ,

${\sf{:\implies (5x - 20) + (2x-10)= 180 }}$

${\sf{:\implies 5x - 20 + 2x - 10= 180 }}$

${\sf{:\implies 7x -30 = 180 }}$

${\sf{:\implies 7x = 180 + 30}}$

${\sf{:\implies 7x = 210}}$

${\sf{:\implies x = \dfrac{210}{7} }}$

${\sf{:\implies x = \blue{30}}}$

Hence the value of x is 30

now by putting the value of x

${\sf{:\implies 5x - 20 }}$

${\sf{:\implies 5 \times 30 - 20 }}$

${\sf{:\implies 150 - 20 }}$

${\sf{:\implies \blue{130 \degree }}}$

And

${\sf{:\implies 2x - 10 }}$

${\sf{:\implies 2 \times 30 - 10 }}$

${\sf{:\implies 60 - 10 }}$

${\sf{:\implies \blue{50 \degree }}}$

$\huge \text{Check - }$

We know that the sum of interior angle on the same side of transversal is supplementary angle which is equal to 180 degree .

${\sf{:\implies 130 + 50 }}$

${\sf{:\implies \green{180 \degree }}}$