Advertisements
Advertisements
प्रश्न
If three angles of a quadrilateral are each equal to 75°, the fourth angle is ______.
पर्याय
150°
135°
45°
75°
Advertisements
उत्तर
If three angles of a quadrilateral are each equal to 75°, the fourth angle is 135°.
Explanation:
Given: Three angles of quadrilateral = 75°
Let the fourth angle be x.
As we know that sum of interior angles of quadrilateral is equal to 360°.
So, 75° + 75° + 75° + x = 360°
225° + x = 360°
x = 360° – 225°
x = 135°
Therefore, the fourth angle is 135°.
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
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
In the given figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD = 146°, find ∠AOB.
Diagonals necessarily bisect opposite angles in a
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
Can all the angles of a quadrilateral be right angles? Give reason for your answer.
The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.
In the following figure, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD.

