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Y_Kistochka [10]
3 years ago
14

Help pls. Find the value of x.

Mathematics
2 answers:
padilas [110]3 years ago
6 0
Answer: x = 15 degree

Explanation:

(x + 30) + 100 + (3x - 10) = 180 (straight angle)

x + 30 + 100 + 3x - 10 = 180
4x + 120 = 180
4x = 180 - 120
4x = 60
x = 60/4
x = 15 degree

Therefore, x = 15 degree
sleet_krkn [62]3 years ago
5 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x = 15 °}}}}}

Step-by-step explanation:

\sf{x + 30 ° + 100 ° + 3x - 10 ° = 180 °}

( Sum of angle in straight line )

Collect like terms

⇒\sf{4x + 30 ° + 100 ° - 10 ° = 180 °}

Calculate the sum or difference

⇒\sf{4x  + 120 ° = 180 °}

Move 120 to right hand side hand change it's sign

⇒\sf{4x = 180 ° - 120 °}

Subtract 120 from 180

⇒\sf{4x = 60 ° }

Divide both sides of the equation by 4

⇒\sf{ \frac{4x}{4}  =  \frac{60}{4} }

Calculate

⇒\sf{x = 15  °}

Hope I helped!

Best regards!!

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