Answered

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Answer:

x = 60°

Step-by-step explanation:

△DBC is an isosceles triangle because DB and DC are equal. Then because of this, ∠DBC and ∠DCB are equal.

We know that ∠BDC = 50°.

To find ∠DBC and ∠DCB, apply angle sum of triangles:

∠BDC + ∠DBC + ∠DCB = 180°

50° + ∠DBC + ∠DCB = 180°

∠DBC + ∠DCB = 130°

∠DBC = 65°

Then, to find ∠ABD, apply angles on straight line:

∠ABD + ∠DBC = 180°

∠ABD + 65° = 180°

∠ABD = 115°

We know that ∠ADB = 5°. To find x, apply angle sum of triangles again:

x + ∠ADB + ∠ABD = 180°

x + 5° + 115° = 180°

x = 60°

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