Question

Прямые РЕ перпендикулярны и пересекаются в точке К внутри углавзята точка А а внутри МKE точка В. угол АКН 40 градусов угол МКВ 50 нацдите эти угллы

Answer 1

Угол HKE=90=уголHKA+уголAKE, уголAKE=90-уголHKA=50
угол MKE=90=уголMKB+уголBKE, уголBKE=90-уголMKB=40

Answer 2

Perpendicular Lines and Angles

When two lines are perpendicular, they intersect at a right angle, which means the angle formed between them is 90 degrees. In this case, we have two lines, RE and KE, that intersect at point K inside the angle formed by lines MA and KE. We are given that angle AKN measures 40 degrees and angle MKV measures 50 degrees. We need to find these angles.

To find angle AKN, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle AKN is part of triangle AKM, we can subtract the given angles from 180 degrees to find angle AKN:

180 degrees - angle AKM - angle KAM = angle AKN

Since angle AKM is 90 degrees (as RE and KE are perpendicular), we have:

180 degrees - 90 degrees - angle KAM = angle AKN

Simplifying further:

90 degrees - angle KAM = angle AKN

Given that angle KAM is 40 degrees, we can substitute this value:

90 degrees - 40 degrees = angle AKN

Therefore, angle AKN measures 50 degrees.

To find angle MKV, we can use the same logic. Since angle MKV is part of triangle MKB, we can subtract the given angles from 180 degrees to find angle MKV:

180 degrees - angle MKB - angle MBK = angle MKV

Since angle MKB is 90 degrees (as RE and KE are perpendicular), we have:

180 degrees - 90 degrees - angle MBK = angle MKV

Simplifying further:

90 degrees - angle MBK = angle MKV

Given that angle MBK is 50 degrees, we can substitute this value:

90 degrees - 50 degrees = angle MKV

Therefore, angle MKV measures 40 degrees.

So, the angles are as follows: - Angle AKN measures 50 degrees. - Angle MKV measures 40 degrees.

Please let me know if there is anything else I can help you with!