Advertisements
Advertisements
Question
If three angles of a quadrilateral are each equal to 75°, the fourth angle is ______.
Options
150°
135°
45°
75°
Advertisements
Solution
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
RELATED QUESTIONS
Find the angle measure x in the given Figure
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
If PQRS is a square, then write the measure of ∠SRP.
If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
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.
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
The polygon in which sum of all exterior angles is equal to the sum of interior angles is called ______.
