Advertisements
Advertisements
प्रश्न
The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
Advertisements
उत्तर
\[\text{ Since the sum of all the angles of a hexagon is } 720° , \text{ we get } : \]
\[x° + \left( x - 5 \right)° + \left( x - 5 \right)° + \left( 2x - 5 \right)° + \left( 2x - 5 \right)° + \left( 2x + 20 \right)° = 720°\]
\[ \Rightarrow x° + x° - 5° + x°- 5°+ 2x - 5°+ 2x - 5°+ 2x + 20°= 720° \]
\[ \Rightarrow 9x - 20° + 20° = 720° \]
\[ \Rightarrow 9x = 720° \]
\[ \therefore x = 80\]
संबंधित प्रश्न
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm what is the measure of the shorter side?
Complete of the following, so as to make a true statement:
A quadrilateral is convex if, for each side, the remaining ______ lie on the same side of the line containing the side.
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.
In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that:
∠AOB = (∠C + ∠D)
Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.
The angles of a pentagon are x°, (x - 10)°, (x + 20)°, (2x - 44)° and (2x - 70)°. Find the angles.
In a pentagon ABCDE, AB || ED and ∠B = 140°, ∠C = 2x° and ∠D = 3x°. Find ∠C and ∠D
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form ______.
The common part between the two angles BAC and DAB in the following figure is ______.
