In the figure, lines m and are parallel. If y - x = 20°, what is the measure of x, in degrees?
Answers
Answer:
Step-by-step explanation:
Hi ,
( 2x- 8 ) and ( 3x - 7 ) are interior angles of the
same side of the transversal .
we know that ,
sum of interior angles of same side of the
transversal = 180°
2x - 8 + 3x - 7 = 180
5x - 15 = 180
5x = 180 + 15
5x = 195
x = 195 / 5
x = 39
Therefore ,
2x - 8 =( 2 × 39 ) -8
= 78 - 8
= 70°
3x - 7 = ( 3 × 39 ) - 7
= 117 - 7
= 110°
I hope this helps you ,
:)Hi ,
( 2x- 8 ) and ( 3x - 7 ) are interior angles of the
same side of the transversal .
we know that ,
sum of interior angles of same side of the
transversal = 180°
2x - 8 + 3x - 7 = 180
5x - 15 = 180
5x = 180 + 15
5x = 195
x = 195 / 5
x = 39
Therefore ,
2x - 8 =( 2 × 39 ) -8
= 78 - 8
= 70°
3x - 7 = ( 3 × 39 ) - 7
= 117 - 7
= 110°
I hope this helps you ,
:)