Advertisements
Advertisements
Question
Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
Advertisements
Solution
\[\text{ Let x be the measure of the equal angles of the quadrilateral } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x°+ x°+ 150°= 360°\]
\[ \Rightarrow 3x°= 360°- 150°\]
\[ \Rightarrow x°= 210°\]
\[ \therefore \text{ The measure of each angle is } 70° .\]
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Diagonals .
In a quadrilateral, define of the following Opposite angles .
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of adjacent sides.
In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\]
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.
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 ................
Mark the correct alternative in each of the following:
The opposite sides of a quadrilateral have
ABCDE is a pentagon in which AB is parallel to DC and ∠A : ∠E : ∠D = 1 : 2 : 3. Find angle A.
The number of common points in the two angles marked in the following figure is ______.
Using the information given, name the right angles in part of figure:
BA ⊥ BD
