Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 15 °}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x + 30 ° + 100 ° + 3x - 10 ° = 180 °}[/tex]
( Sum of angle in straight line )
Collect like terms
⇒[tex] \sf{4x + 30 ° + 100 ° - 10 ° = 180 °}[/tex]
Calculate the sum or difference
⇒[tex] \sf{4x + 120 ° = 180 °} [/tex]
Move 120 to right hand side hand change it's sign
⇒[tex] \sf{4x = 180 ° - 120 °}[/tex]
Subtract 120 from 180
⇒[tex] \sf{4x = 60 ° }[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4x}{4} = \frac{60}{4} }[/tex]
Calculate
⇒[tex] \sf{x = 15 °}[/tex]
Hope I helped!
Best regards!!
