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
\[\text{ Let x be the measure of the equal angles of the quadrilateral } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x°+ x°+ 150°= 360°\]
\[ \Rightarrow 3x°= 360°- 150°\]
\[ \Rightarrow x°= 210°\]
\[ \therefore \text{ The measure of each angle is } 70° .\]
APPEARS IN
संबंधित प्रश्न
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.
How many pairs of opposite sides are there?
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?
Complete the following statement by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................
Complete the following statement by means of one of those given in brackets against each:
A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point.
In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ∠QRS = 100°, then ∠TVS =
ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D.
What conclusion can be drawn from part of given figure, if DB is the bisector of ∠ADC?
