mariakaty14
Answered

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Instructions: Find the measure of x and y.
R
89°
E
Х°
81°
G
yo
F
=
Y
Check

Instructions Find The Measure Of X And Y R 89 E Х 81 G Yo F Y Check class=

Sagot :

Answer:

m ∠x = 81° and m ∠y = 109°

Step-by-step explanation:

m ∠R = 1/2 (arc REG)         m ∠G = 1/2(arc REF)

89° = 1/2 (arc REG)             81 = 1/2(arc REF)

178° = arc REG                    162° = arc REF

  m ∠x = 1/2 arc REF

  m ∠x = 1/2( 162°)

  m ∠x = 81°       or m ∠G = m ∠x  because these to angles intersect the same arc, therefore they are equal.

Now the polygon interior angles = 360° and you know the measure of three of the four angles, solve for the missing angle .

m ∠R + m ∠x + m ∠y + m ∠G = 360°

 89° +  81° + m ∠y + 89° = 360°

(89 + 81 + 81) + m ∠y = 360°

251° + m ∠y = 360°

m ∠y = 109°

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