Advertisements
Advertisements
प्रश्न
In the given figure, AB = DB and AC = DC. Find the values of x and y.
Advertisements
उत्तर
In ΔABC and ΔDBC
AB = DB ....[given]
AC = DC ....[given]
BC = BC ....[common]
∴ By Side-Side-Side criterion of congruence,
ΔABC ≅ ΔDBC
∴ ∠ACB =∠DBC ....[c.p.c.t]
⇒ y + 15° = 63°
⇒ y = 63° - 15°
⇒ y = 48°
Now, ∠ABC = ∠DBC ....[c.p.c.t]
⇒ 29° = 2x - 4°
⇒ 2x = 29° + 4°
⇒ 2x = 33°
⇒ x = `(33°)/(2)`
⇒ x = 16.5°
Hence, x = 16.5° and y = 48°.
APPEARS IN
संबंधित प्रश्न
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.
State, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED
A is any point in the angle PQR such that the perpendiculars drawn from A on PQ and QR are equal. Prove that ∠AQP = ∠AQR.
In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.” Is the statement true? Why?
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆XYZ ≅ ∆MLN
