Three angles are labeled below with arcs. The smallest angle is [tex]\frac{3}{8}[/tex] as large as the [tex]160^\circ[/tex] angle. Find the value of angle [tex]a[/tex].

Question

kate200468 · Answer

t h e s ma ll er an g l e = 8 3 ​ ⋅ 16 0 0 = 8 3 ​ ⋅ 1 16 0 0 ​ = 1 3 ⋅ 2 0 0 ​ = 6 0 0 a = 36 0 0 − ( 16 0 0 + 6 0 0 ) = 36 0 0 − 22 0 0 = 14 0 0

kate200468 · Answer

The value of angle a is calculated to be 14 0 circ , using the relationship of the smallest angle to the 16 0 circ angle. The steps involved calculating the smallest angle and using the sum of angles formula. This finding confirms that angles around a point sum up to 36 0 circ . 
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Three angles are labeled below with arcs. The smallest angle is [tex]\frac{3}{8}[/tex] as large as the [tex]160^\circ[/tex] angle. Find the value of angle [tex]a[/tex].

Answer (2)

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