Question

16. If m angle 3=74°, find each measure.

Answer 1

Answer: Since, m∠2 + m∠1 = 180° [Supplementary angles]

  125° + m∠1 = 180°

  m∠1 = 180° - 125°

  m∠1 = 55°

2). Since ∠7 ≅ ∠12 [alternate interior angles]

  m∠7 = m∠12 = 37°

3). m∠3 = m∠18 = 102° [Alternate exterior angles]

4). m∠8 + m∠3 + m∠7 = 180°

   m∠8 + 102 + 37 = 180

   m∠8 = 41°

5). m∠14 = (m∠7 + m∠8) [Alternate angles]

   m∠14 = 37 + 41 = 78°

6). m∠4 = 180° - m∠3 [Linear pairs]

            = 180 - 102

            = 78°

7). m∠9 = m∠3 = 102° [Vertical angles]

8). m∠15 = m∠2 [Alternate exterior angles]

              = 125°

9). m∠5 = m∠15 [Corresponding angles]

            = 125°

10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]

    m∠10 = 180 - 125

              = 55°

10). m∠16 = m∠10 = 55° [Vertical angles]

11). m∠6 = m∠10 = 55° [Alternate interior angles]

12). m∠11 = m∠15 = 125°

13). m∠17 = m∠14 = 78° [Vertical angles]

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation: