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.
Advertisements
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 x + y + z + w
Find x in the following figure:

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
Three angles of a quadrilateral are equal. Fourth angle is of measure 120°. What is the measure of equal angles?
