Question

What is the measure of angle GOE? *



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Answer 1

answer:27 degrees

since CF is a straight line

angles 2a+(3a-7)+(a-5)=180 degrees

Answer 2

Answer:

<GOE = 91°

Step-by-step explanation:

<COD + <DOE + <EOF = 180° (Reason: Supplementary angles)

Therefore,

2a + 3a-7 + a-5 = 180°

a = 32°

2a = 32 x 2 = 64°                 (1)

a - 5 = 32 - 5 = 27°              (2)

<GOF = <COD (Reason: Vertically opposite angles)

<GOF = 64

Now, <GOE = <GOF + <EOF

<GOE = (1) + (2)

<GOE = 64 + 27

= 91°