Question

determine the value of x​

Answer 1

Answer:

4x + x + 20 = 200

=> 5x = 200 - 20

=> 5x = 180

=> x = 180/5

therefore, x = 36

hope it helps you!!

Answer 2

Answer:

Step-by-step explanation:

We know,

$\tt{\blue{"The\,\,sum\,\,of\,\,opposite\,\,interior\,\,angles}}\\ \tt{\blue{of\,\,a\,\,triangle\,\,is\,\,equal\,\,to\,\,the\,\,exterior\,\,angle"}}$

So,

$\sf{4x+(x+20)=200}$

$\sf{\implies5x+20=200}$

$\sf{\implies5x=200-20}$

$\sf{\implies5x=180}$

$\sf{\implies\,x=\dfrac{180}{5}}$

$\sf{\implies\,x=36}$

$\rm{\bold{\purple{Hence,\,the\,\,required\,\,value\,\,of\,\,x\,\,is\,\,\red{36^{\circ}}}}}$