3∠A = 4∠B = 6∠C
X = 3∠A
∠A = x/3 ………….(i)
X = 4∠B
∠B = x/4 ……….(ii)
X = 6∠C
∠C = x/6 ………(iii)
By using angle sum property
∠A + ∠B + ∠C = 180°
Put the values of ∠A, ∠B, ∠C
x/3 + x/4+ x/6 = 180°
Let us find the L.C.M of 3, 4, 6 i.e. 12
(4x + 3x + 2x) / 12 = 180°
9x = 2160
X = 240°
Substitute the value of x in equation (i), (ii) and (iii)
∠A = x/3
∠A = 240/3
So, ∠A = 80°
English
150 Questions
150 Marks
150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishThe area of a triangle is 5 square units. Two of its vertices are } (2,1) and (3,-2). The third vertex, which lies on the line , is given by:
If in two triangles DEF and PQR, ∠D =∠Q and ∠R = ∠E, then which of the following is not true?
A triangle with vertices (4, 0), (−1, −1), and (3, 5) is:
The angles of a triangle x, y, and z are in descending order.
If 2x − y = 100° = 3y − 2z, its smallest angle is:
Fifteen distinct points are randomly placed on the circumference of a circle .. At most how many triangles can be formed using these points?
Which one of the following, drawn in a linear scale, represents the triangle shown in the figure above?
Select the CORRECT option
If the areas of two similar triangles are in the ratio 121 : 225, what would be the ratio of the corresponding sides?
In two triangle ABC and DEF, if
A tree broke at a height of 8 m from its foot and the broken upper part touches the ground at a point of 6 m from its foot. Find the height of the tree.
Suggested Test Series
Suggested Test Series
