If lines p & q are parallel and t is transversal , pair of angles on the same side of transversal are 45 degree and (5x+35)degree. What is the value of x? * a) 180 b) 80 c) 20 d) 100
Answers
Answer:
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 ,
:)
Step-by-step explanation:
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Answer:
( 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 ,
plZ mark me as brainlylist