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What is the value of x in this diagram?

I need this ASAP!!!

What is the value of x in this diagram? I need this ASAP!!!-example-1
User Felixmosh
by
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1 Answer

10 votes

Answer:

x is 33

Explanation:

All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:

104+x+(x+10)=180

104+x+x+10=180 (use the distributive property to remove parenthesis)

104+10+x+x=180 (rearrange terms)

114+2x=180 (combine like terms)

2x=180-114 (subtract 114 from both sides)

2x=66

x=33 (divide 2 from both sides)

User Sify
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