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41 votes
41 votes
Solve for x

solve for x

Solve for x solve for x-example-1
User Celion
by
2.8k points

2 Answers

9 votes
9 votes

Answer:

x = 27

Explanation:

3x - 3 and 4x - 6 are same- side exterior angles and sum to 180° , that is

3x - 3 + 4x - 6 = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

User Anisia
by
2.5k points
10 votes
10 votes

I WILL USE THE REASONS CORRESPONDING ANGLES AND ANGLES ON THE STRAIGHT LINE. SINCE THE DIAGRAM LACKS FULL LABELLING THAT MAKES ME UNABLE TO EXPLAIN MORE USING DEMONSTRATION


3x - 3 + (4x - 6) = 180 \\ 3x + 4x - 3 - 6 =180 \\ 7x - 9 = 180 \\ 7x = 180 + 9 \\ 7x = 189 \\ (7x)/(7) = (189)/(7) \\ x = 27

ATTACHED IS THE SOLUTION x=27°

User Abhijit K Rao
by
2.7k points