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11 votes
Determine the unknown angle measures.
70°
115°
105°
45°
110°

1 Answer

9 votes

Answer:

here

Explanation:

Measurement Of Angles Formula

The following formulae can be used in the measurement of angles.

Degree Measure

1^0=[\frac{1}{360}]^{th}of \ a \ complete \ rotation1

0

=[

360

1

]

th

of a complete rotation

Radian Measure

\theta =\frac{l}{r}θ=

r

l

where l is the arc length and r is the radius of the circle

Relation Between Degree, Radian and Grade Measure

1] Degree and Radian measure

It is known that a complete rotation in degrees is 3600 and 1 complete rotation = 2π radians in radian measure.

2π (radians) = 360° (degrees) or π (radians) = 180° (degrees)

Assuming, π = 3.14159

1 \ radian= \frac{180^0}{\pi} \\ 1 \ degree = \frac{\pi}{180}1 radian=

π

180

0

1 degree=

180

π

Relation between degree and radian measure

User Stefano Cordio
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