Advertisements
Advertisements
प्रश्न
Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
Advertisements
उत्तर
\[\text{ Let x be the measure of the equal angles of the quadrilateral } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x°+ x°+ 150°= 360°\]
\[ \Rightarrow 3x°= 360°- 150°\]
\[ \Rightarrow x°= 210°\]
\[ \therefore \text{ The measure of each angle is } 70° .\]
संबंधित प्रश्न
In a quadrilateral, define of the following Interior .
Complete of the following, so as to make a true statement:
A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.
In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB.
Complete the following statement by means of one of those given in brackets against each:
f consecutive sides of a parallelogram are equal, then it is necessarily a ..................
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.
In ΔABC, E is the mid-point of median AD such that BE produced meets AC at F. IF AC = 10.5 cm, then AF =
The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find all the angles
Which of the following represents the vertices of quadrilateral ABCD?
