Answer:
x = 60°
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°