Answer:
m∠7 = 34°
Step-by-step explanation:
For better understanding of the solution see the attached figure :
From the question, line a is parallel to line b and line c is transversal to both the parallel lines a and b
Next, we name the angles as given in the question and obtain the resulting named figure of the problem.
Now, m∠3 = 34°
Since, a ║ b
⇒ m∠3 + m∠6 = 180° (Sum of co-interior opposite angles is 180°)
⇒ m∠6 = 180° - m∠3
⇒ m∠6 = 180° - 34°
⇒ m∠6 = 126°
Now, m∠6 + m∠7 = 180° (Sum of linear pair is 180°)
⇒ m∠7 = 180° - m∠6
⇒ m∠7 = 180° - 126°
⇒ m∠7 = 34°
Answer:
Answer:
m∠7 = 34°
Step-by-step explanation:
For better understanding of the solution see the attached figure :
From the question, line a is parallel to line b and line c is transversal to both the parallel lines a and b
Next, we name the angles as given in the question and obtain the resulting named figure of the problem.
Now, m∠3 = 34°
Since, a ║ b
⇒ m∠3 + m∠6 = 180° (Sum of co-interior opposite angles is 180°)
⇒ m∠6 = 180° - m∠3
⇒ m∠6 = 180° - 34°
⇒ m∠6 = 126°
Now, m∠6 + m∠7 = 180° (Sum of linear pair is 180°)
⇒ m∠7 = 180° - m∠6
⇒ m∠7 = 180° - 126°
⇒ m∠7 = 34°
Step-by-step explanation:
