Advertisements
Advertisements
प्रश्न
In a ΔABC, if AB = AC and BC is produced to D such that ∠ACD = 100°, then ∠A =
पर्याय
20°
40°
60°
80°
Advertisements
उत्तर
In the triangle ABC it is given that
AB = AC
∠ACD = 100°
We have to find ∠A
Now ∠ACD + ∠ACB = 180° (linear pair)
SinceAB = AC
So, ∠B = ∠C (by isosceles triangle)
This implies that
∠B =∠C
= 180° - 100
= 80
Now,
∠A + ∠B + ∠C = 180° (Property of triangle)
∠A + 80° + 80° = 180°
∠A = 180° - 160°
∠A = 20°
APPEARS IN
संबंधित प्रश्न
In the given figure, if AE || DC and AB = AC, the value of ∠ABD is
Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.
From the information shown in the figure,
in ΔPTQ and ΔSTR
seg PT ≅ seg ST
∠PTQ ≅ ∠STR ...[Vertically opposite angles]
∴ ΔPTQ ≅ ΔSTR ...`square` test
∴ `{:("∠TPQ" ≅ square),("and" square ≅ "∠TRS"):}}` ...corresponding angles of congruent triangles
seg PQ ≅ `square` ...corresponding sides of congruent triangles
In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that: AD = CE.
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 5cm,BC = 7cm,CA = 9cm);
ΔKLM;(KL = 7cm,LM = 5cm,KM = 9cm).
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).
In a triangle ABC, if D is midpoint of BC; AD is produced upto E such as DE = AD, then prove that:
a. DABD andDECD are congruent.
b. AB = EC
c. AB is parallel to EC
ΔABC is an isosceles triangle with AB = AC. GB and HC ARE perpendiculars drawn on BC.
Prove that
(i) BG = CH
(ii) AG = AH
In the given figure, AB = DB and AC = DC. Find the values of x and y.
If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆STU ≅ ∆DEF
