find the value of x and explain it
Attachments:
Answers
Answered by
0
Answer:
firstly please follow me and thanks plz plz Plz plz plz plz plz plz plz plz plz plz
Answered by
0
Answer:
x = 70°
Step-by-step explanation:
From fig., ABCD is a quadrilateral.
In fig., consider Δ BCD
∠CBD + ∠BDC + ∠C =180° .........(angle sum property of a Δ)
30° + 10° + ∠C = 180°
∴ ∠C = 140 °
AB ≅ AD
∴ ∠ ADB = ∠ ABD = x .........(angle opposite congruent side)
Quadrilateral ABCD must be a cyclic quadrilateral so as to find the value of x.
∴ ∠A +∠C = 180° ........(opposites angles of Quadrilateral are supplementary)
∴ ∠A + 140° = 180°
∴ ∠A = 40°
Similarly, ∠B + ∠D =180°
(x+30°) + (∠ADB + 10°) = 180°
∴ (x+30°) + (x+10°) =180° ..........(∠ABD ≅ ∠ADB)
∴ x = 70°
Similar questions