Question

If m 2 - 98°, m 3 - 23 and m 8 - 70°, find the measure of each missing angle.

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The complete question is given in the image attached below

m∠1 + m∠2 = 180° (sum of angles on a straight line)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

m∠4 = m∠7 (alternate angles)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (sum of angles on a straight line)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180° (sum of angles on a straight line)

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°