Answer :
The value of x after solve for it, in the straight line where angle 17x - 70 and angle 3x+15 is linear angle is 11.75 degree.
What angles formed by the parallel line cut by transverse?
Angles formed by the parallel line cut by the transverse-
- Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.
- Alternate interior angle- This angle made inside the parallel lines cut by the transversal.
- Alternate exterior angle-This angle made outside the parallel lines cut by the transversal.
- Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
The angle 17x - 70 and the angle 3x+15 are the linear angle. Thus, the sum of the two angle is equal to the 180 degrees.
[tex](17x - 70)+(3x+15)=180\\17x+3x-70+15=180\\20x-55=180[/tex]
Adding number 55 both side of the equation,
[tex]20x-55+55=180+55\\19x=235\\x=\dfrac{235}{20}\\x=11.75^o[/tex]
Thus, the value of x after solve for it, in the straight line where angle 17x - 70 and angle 3x+15 is linear angle is 11.75 degree.
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