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Aliun [14]
4 years ago
8

Point O is the incenter of triangle ABC. Point O is the incenter of triangle A B C. Lines are drawn from the points of the trian

gle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle O B C is 15 degrees. Angle O C R is 30 degrees. What is mAngleQOB? 30° 60° 75° 90°

Mathematics
2 answers:
Agata [3.3K]4 years ago
6 0

Answer:

C 75

Step-by-step explanation:

marissa [1.9K]4 years ago
5 0

Answer:

No Options

∠QOB=45º

Step-by-step explanation:

we have that: point O=Incenter, sides S, Q, R they form right angles with the point O,  angle OBC = 15º and angle OCR=30º, find angle QOB

we know that the sum of all the internal angles of a triangle is 180º,  so

α =180-30-15-90=45º   and  β = 180-90-α  → β = 180-90-45 =45º,

Finally  β=∠QOB=45º

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