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Vera_Pavlovna [14]
2 years ago
12

Pls answer for brainlest and 50 points PLEASE EXPLAIN In image

Mathematics
2 answers:
Mumz [18]2 years ago
8 0
Answer: C) 163

Step-by-Step Solution:

In the Right Triangle formed to the extreme right, lets mark the angles as
∠1, ∠2 and ∠3.

Therefore, from the Figure :-

∠1 = 73°
∠2 = 90°

By Angle Sum Property :-

∠3 = 180 - (73 + 90)
∠3 = 180 - 163
=> ∠3 = 17°

The Angle which forms a Linear Pair with ∠3 is the Corresponding Angle of ∠r, and Corresponding Angles are Equal.

Therefore,
=> 180 - ∠3
= 180 - 17
=> 163°

Therefore, the Angle that forms the Linear Pair with ∠3 is 163°

This Angle is Corresponding to ∠r and hence they are Equal ie. ∠r = 163°

Hence, ∠r = 163°
77julia77 [94]2 years ago
3 0

Answer:

r = 163 --> C

Step-by-step explanation:

In a right triangle, the remaining angle is = 180-73-90 = 17

Because n // p so acute angle created by n = 17

r+17 =180 --> r = 180-17 = 163

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