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Find the measure of angle BEC
A) 10 degrees
B)60 degrees
C) 80 degrees
D) 100 degrees

Find The Measure Of Angle BEC A 10 Degrees B60 Degrees C 80 Degrees D 100 Degrees class=

Sagot :

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Answer:

80°

Step-by-step explanation:

Apply vertically opposite angles,

∠BEC = ∠GEA = 8x°

∠GEC = ∠BEA = (4x+60°)

To find x, apply angles at a point,

8x + 8x + (4x+60°) + (4x+60°) = 360°

16x + 2(4x+60°) = 360°

16x + 8x + 120° = 360°

24x = 240

x = 10

To find ∠BEC (8x°),

8 × 10 = 80°

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