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Lady bird [3.3K]
3 years ago
15

Can anyone help me with Question 7? I’m not good at word problems :(

Mathematics
1 answer:
romanna [79]3 years ago
7 0
You just have to find the angle whose sine is 0.1045. Use the sin-1 key on your calculator  ( make sure its set to degrees first)

m < B =  6.000 degrees to nearest thousandth
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Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smalle
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The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°

Step-by-step explanation:

The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:

mP = mQ + mR

mP + mQ + mR = 180\°

Substituting mQ + mR by mP in the second equation, we have:

mP + mP = 180\°

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The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.

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exteriorP = 90\°

7 0
3 years ago
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