Advertisements
Advertisements
Question
The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
Advertisements
Solution
\[\text{ Let x be the the fourth angle } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have: } \]
\[110°+ 50° + 40° + x = 360° \]
\[ \Rightarrow 200° + x = 360°\]
\[ \Rightarrow x = 160° \]
\[ \therefore \text{ The fourth angle is 160 } ° .\]
RELATED QUESTIONS
Complete of the following, so as to make a true statement:
In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.
The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.
Two angles of a quadrilateral are 89° and 113°. If the other two angles are equal; find the equal angles.
In the following figure, if point A is shifted to point B along the ray PX such that PB = 2PA, then the measure of ∠BPY is ______.
Using the information given, name the right angles in part of figure:
BA ⊥ BD
Using the information given, name the right angles in part of figure:
AC ⊥ CD
An angle is said to be trisected, if it is divided into three equal parts. If in the following figure, ∠BAC = ∠CAD = ∠DAE, how many trisectors are there for ∠BAE?
Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent angles.
Which of the following represents the vertices of quadrilateral ABCD?
