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 two right triangles one side an acute angle of one are equal to the corresponding side and angle of the othe Prove that the triangles are congruent.
Mark the correct alternative in each of the following:
If ABC ≅ ΔLKM, then side of ΔLKM equal to side AC of ΔABC is
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.
By ______ test
ΔPRQ ≅ ΔSTU
If the following pair of the triangle is congruent? state the condition of congruency :
In ΔABC and ΔDEF, ∠B = ∠E = 90o; AC = DF and BC = EF.
In the following diagram, AP and BQ are equal and parallel to each other.
Prove that:
- ΔAOP ≅ ΔBOQ.
- AB and PQ bisect each other.
State, whether the pairs of triangles given in the following figures are congruent or not:
In the figure, BM and DN are both perpendiculars on AC and BM = DN. Prove that AC bisects BD.
Which of the following rule is not sufficient to verify the congruency of two triangles
If AB = QR, BC = PR and CA = PQ, then ______.
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆XYZ ≅ ∆MLN
