W PROPERTY OF A QUADRILATERAL The sum of the angles of a quadrilateralis 360
IN ABCD.
Uudrilateral ABCD together with its boundarys
anlateral ABCI
MPLE
(ili) 7
(iv) T)
The angles of a quadrilateral are in the ratio 1:2:3: 4. Find the measure of each
of the four angles.
Thus, ir
tion
(i) AB
(ii) AB
(iii) ZDAI
(iv) Let the
OB =(
Let the measure of the angles of the given quadrilateral be x°. (2x)”. (3x)° and
(4x)". Then,
x + 2x + 3x + 4x = 360 l the sum of the angles of a quadrilateral is
360°)
- 10x = 360 = x = 36.
Hence, the required angles are 36º, 72°, 108 and 144º.
4. RECTANGLE
angle is
In the given fig
AD || BC and 2
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