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Help pls. Find the value of x.

Help pls. Find the value of x.-example-1

2 Answers

6 votes
Answer: x = 15 degree

Step-by-step 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
User Orjanp
by
8.1k points
3 votes

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{ (4x)/(4) = (60)/(4) }

Calculate


\sf{x = 15  °}

Hope I helped!

Best regards!!

User Puneet Sinha
by
7.5k points

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