Advertisements
Advertisements
प्रश्न
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
उत्तर
Let the remaining three equal angles be x.
We know,
Sum of all interior angles of a quadrilateral is 360º
∴ 108º + x + x + x = 360º
108º + 3x = 360º
3x = 360º – 108º
3x = 252º
x = `252^circ/3`
x = 84º
∴ Each of three equal angles, x = 84º.
APPEARS IN
संबंधित प्रश्न
Find the angle measure x in the given Figure
Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram .
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D .
In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute
∠CDB and ∠ADB.
The two diagonals are equal in a
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
