Question

find the lettered angle

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Answer 1

X is 63 degrees because the triangles are congruent

Answer 2

Answer:

x = 63°

Step-by-step explanation:

In Δ ADE, AE = AD

( we know angle opposite to equal sides are equal )

∴ ∠AED = ∠ADE

∴ ∠ADE = 63°

In Δ ADE,

∠A + ∠D + ∠E = 180° (angle sum property)

∠A + 63° + 63° = 180°

∠A + 126° = 180°

∴ ∠A = 54°

But ∠DAE = ∠CAB (vertically opposite angles)

∴ ∠CAB = 54°

In ΔABC, AB = AC

(we know angles opposite to equal sides are equal)

∴ ∠ACB = ∠ABC = x

In Δ ABC

∠A + ∠B + ∠C = 180° (angle sum property)

54° + x + x = 180°

2x = 126

x = 63°

hope it helps...

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