Advertisements
Advertisements
Question
A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?
Advertisements
Solution
\[\text{ Let x be the fourth angle } . \]
\[ \text{ Since, the sum of all angles of a quadrilateral is } 360°, \text{ we have: } \]
\[80° + 80° + 80° + x = 360° \]
\[ \Rightarrow 240° + x = 360° \]
\[ \Rightarrow x = 120° \]
\[ \therefore \text{ The fourth angle is } 120° .\]
RELATED QUESTIONS
In a quadrilateral, define of the following Opposite sides .
Complete of the following, so as to make a true statement:
The number of pairs of adjacent angles of a quadrilateral is .......
Complete of the following, so as to make a true statement:
The measure of each angle of a convex quadrilateral is ..... 180°.
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.
Which of the following quadrilateral is not a rhombus?
Angles of a quadrilateral are (4x)°, 5(x+2)°, (7x – 20)° and 6(x+3)°. Find :
(i) the value of x.
(ii) each angle of the quadrilateral.
The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.
The common part between the two angles BAC and DAB in the following figure is ______.
