Question

AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP

Answer 1

Question (8). m∠1 = 142°

m∠2 = 300°

Question (9). m∠1 = 73°

m∠2 = 82°

Explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

m∠1 = 180 - 38

m∠1 = 142°

m∠x = 38° [Alternate interior angles]

m∠y = 22° [Alternate interior angles]

Now, m∠2 = 360° - (m∠x + m∠y)

= 360° - (38 + 22)°

m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

m∠RMN = 180 -98

= 82°

m∠RMN = m∠ARM = 82°

m∠2 = 82°

m∠SNM = 73° [Vertical angles]

m∠SNM = m∠OSR = 73°[Corresponding angles]

m∠1 = 73°