Respuesta :

Answer:

If AD is perpendicular to BF, then angle O is 90 degrees and angles 1 and 2 both add up to 90 degrees. If they are equal, both angles = 45 degrees to be 90 degrees.

So, angle 1 = 45 degrees.

varshamittal029

If the given two angles m∠1 and m∠2 are equal, i.e. m∠1 = m∠2, then m∠1 is 45°.

What is perpendicular?

If two lines form a 90° angle, we call them perpendicular lines. Let the lines PQ and RS are perpendicular, we can write it as PQ ⊥ RS.

How to solve this problem?

Given that m∠1 = m∠2 ...(1)

Since AD ⊥ BF, the angle between them is 90°.

So, we can write

m∠1 + m∠2 = 90° ...(2)

Replace m∠1 with m∠2 in equation (2) and solve to get the desired result.

Now, m∠2 + m∠2 = 90°

i.e. 2m∠2 = 90°

i.e. m∠2 = 90°/2 = 45°

Using (1), m∠1 = m∠2 = 45°

If the given two angles m∠1 and m∠2 are equal, i.e. m∠1 = m∠2, then m∠1 is 45°.

Learn more about perpendiculars here -

https://brainly.com/question/18271653

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