Question

1. Find the angle measure x in each of the following figure​

Answer 1

Answer:

x = 140°

Step-by-step explanation:

Given that ∠ABC and ∠AED are equal:

∠BCD = 180 - 70 ---——--—-—(Linear Pair)

∠BCD = 110°

∠EDC = 180 - 60 --—---—-—---—--—(LInear Pair)

∠EDC = 120°

As ABCDE is a pentagon:

All angles of a pentagon adds up to 540°

∠A + ∠B + ∠E + ∠BCD + ∠EDC = 540°

30 + x + x + 110 + 120 =540°

2x + 260 = 540°

2x = 540 - 260

2x = 280°

x = 140°

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