Advertisements
Advertisements
प्रश्न
One of the base angles of an isosceles triangle is 52°. Find its angle of the vertex.
उत्तर
Each of the base angles of an isosceles
Δ ABC = 52°
∴ ∠B = ∠C = 52°
But ∠A + ∠B + ∠C = 180°..........(Angles of a triangle)
⇒ ∠A + 52° + 52° = 180°
⇒ ∠A + 104° = 180°
⇒ ∠A = 180°− 104° = 76°
Hence ∠A = 76°
APPEARS IN
संबंधित प्रश्न
In a ΔABC, ∠ABC = ∠ACB and the bisectors of ∠ABC and ∠ACB intersect at O such that ∠BOC = 120°. Show that ∠A = ∠B = ∠C = 60°.
Can a triangle have two obtuse angles? Justify your answer in case.
In a Δ ABC, the internal bisectors of ∠B and ∠C meet at P and the external bisectors of ∠B and ∠C meet at Q, Prove that ∠BPC + ∠BQC = 180°.
In the given figure, compute the value of x.
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
Side BC of a triangle ABC has been produced to a point D such that ∠ACD = 120°. If ∠B = \[\frac{1}{2}\]∠A is equal to
An exterior angle of a triangle is 108° and its interior opposite angles are in the ratio 4 : 5. The angles of the triangle are
In the following, find the marked unknown angle:
Can a triangle together have the following angles?
85°, 95° and 22°
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
12 cm, 12 cm, 16 cm