Question

Given m 1= 65, find the measure of each missing angle.Givd your reasoning

Answer 1

The measure of the missing angles can only be determined if we know the context - if it's a linear pair or part of a triangle, for example. Assuming a linear pair, the underneath angle would be 115 degrees. If it's part of a triangle, more information is needed.

Step-by-step explanation:

Unfortunately, with the information given, it's impossible to find the measure of the missing angles. If this is a linear pair, the underneath angle would be 180-65 = 115 degrees because the sum of a linear pair is always 180 degrees. If it's a triangle, we will require at least 1 more angle to find the others because the sum of internal angles in a triangle is always 180 degrees. Without more information or context, I can't provide a more specific answer.

Learn more about Missing Angles

Answer 2

Step-by-step explanation:

Given:

m∠1 = 65°

Since. ∠1 and ∠2 are the angles of linear pair,

m∠1 + m∠2 = 180°

65° + m∠2 = 180°

m∠2 = 115°

m∠1 = m∠3 [Vertical angles]

m∠3 = 115°

Since, ∠1 and ∠4 is the linear pair of angles,

m∠1 + m∠4 = 180°

65° + m∠4 = 180°

m∠4 = 180 - 65 = 115°

m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]

115° + m∠5 = 180°

m∠5 = 180° - 115° = 65°

m∠5 + m∠6 = 180° [Linear pair of angles]

65° + m∠6 = 180°

m∠6 = 115°

m∠5 = m∠7 [Vertical angles]

m∠5 = m∠7 = 65°

m∠6 = m∠8 [Vertical angles]

m∠6 = m∠8 = 115°