Question

Find the measure of each angle 9-17. PLZZZ HELP will give brainliest!!!! Pleaseee help!!!!!

Answer 1

Answer:

Step-by-step explanation:

l║m and line t is the transversal line intersecting these parallel lines.

9). If m∠7 = 100°,

    m∠3 = m∠7 = 100° [Since, ∠3 and ∠7 are alternate interior angles]

10). m∠7 = 95°

   m∠6 + m∠7 = 180° [Consecutive interior angles]

   m∠6 = 180° - m∠7

   m∠6 = 180° - 95°

   m∠6 = 85°

11. m∠1 = 120°

   m∠1 = m∠5 = 120° [Alternate exterior angles]

12. m∠4 = 20°

   Since, m∠4 = m∠6 = 20° [Vertically opposite angles]

   And m∠6 + m∠7 = 180° [Consecutive interior angles]

   20° + m∠7 = 180°

   m∠7 = 160°

13. m∠3 = 140°

   m∠3 + m∠6 = 180° [Linear pair of angles]

   m∠6 = 180° - m∠3

            = 180° - 140°

            = 40°

    m∠6 = m∠8 = 40° [Corresponding angles]

14. m∠4 = 30°

    m∠4 + m∠1 = 180° [Consecutive exterior angles]

    m∠1 = 180° - 30°

    m∠1 = 150°

15. m∠4 = 40°

    m∠4 = m∠2 = 40° [Corresponding angles]

16. m∠7 = 125°

    m∠6 + m∠7 = 180° [Consecutive interior angles]

    m∠6 = 180° - 125°

             = 55°

    m∠6 = m∠4 = 55° [Vertically opposite angles]

17. m∠1 + m∠3 = 230°

    Since, m∠1 = m∠3 [Corresponding angles]

    m∠3 + m∠3 = 230°

    m∠3 = $\frac{230}{2}$

             = 115°

    m∠3 + m∠6 = 180° [Linear pair of angles]

    m∠6 = 180° - 115°

    m∠6 = 65°