Question

C) Find the angle measure x in the following figure​

Answer 1

BCF+ BCD= 180° (LINEAR PAIR)

BCD= 100°

EDH+ EDC = 180°

EDC= 110°

IN ABCDE

angles A + B + C + D + E = 360°

40° + X + 100° + 110° + X = 360°

2X + 150° = 360°

2X = 210°

X = 155°

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Answer 2

Answer:

x=55°

Step-by-step explanation:

<BCD = 180° - 80° = 100°

< EDC = 180°-70°=110°

By angle sum property of quadrilateral

360° = 100°+110° +40° + 2x

2x= 360° - (100°+110° +40° )

x = 110°÷ 2

x = 55°

Verification

110°+100° +40°+55°+55°= 360°

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