Advertisements
Advertisements
Question
The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x
Advertisements
Solution
Given that
The angles of triangle are
`(x-40^@),(x-20)^@ and (x/2-10)^@`
We know that
Sum of all angles of traingle is `180^@`
∴ `x-40^@+x-20^@+x/2-10^@=180^@`
`2x+x/2-70^@=180^@`
`(5x)/2=180+70^@`
`5x=250^@(2)`
`x=50^@(2)`
`x=100^@`
∴ `x=100^@`
APPEARS IN
RELATED QUESTIONS
AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB.
Compute the value of x in the following figure:

Is the following statement true and false :
An exterior angle of a triangle is greater than the opposite interior angles.
The bisects of exterior angle at B and C of ΔABC meet at O. If ∠A = x°, then ∠BOC =
In ΔRST (See figure), what is the value of x?

In a triangle PQR, ∠P = 60° and ∠Q = ∠R, find ∠R.
Find the value of the angle in the given figure:

If an angle of a triangle is equal to the sum of the other two angles, find the type of the triangle
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that ∆OCD is an isosceles triangle.
The number of triangles in the following figure is ______. Their names are ______.

