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 squared sheet, draw two triangles of equal areas such that
The triangles are not congruent.
What can you say about their perimeters?
In the given figure, if AE || DC and AB = AC, the value of ∠ABD is
From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.
As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.
If the following pair of the triangle is congruent? state the condition of congruency:
In ΔABC and ΔPQR, BC = QR, ∠A = 90°, ∠C = ∠R = 40° and ∠Q = 50°.
In the following figure, OA = OC and AB = BC.
Prove that:
(i) ∠AOB = 90o
(ii) ΔAOD ≅ ΔCOD
(iii) AD = CD
State, whether the pairs of triangles given in the following figures are congruent or not:
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
If AB = QR, BC = PR and CA = PQ, then ______.
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side AB of ∆ABC so that the two triangles are congruent? Give reason for your answer.
