Advertisements
Advertisements
Question
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?
Advertisements
Solution
\[ \text{ Let x be the measure of each angle } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360 °, \text{ we have: } \]
\[65° + 65° + x° + x° = 360° \]
\[ \Rightarrow 2x° + 130°= 360° \]
\[ \Rightarrow 2x° = 230° \]
\[ \Rightarrow x° = 115°\]
\[ \therefore \text{ The measure of each angle is } 115° .\]
RELATED QUESTIONS
How many diagonals does following have?
A convex quadrilateral
In a quadrilateral, define of the following Diagonals .
In Fig. 16.20, find the measure of ∠MPN.
Which of the following quadrilateral is not a rhombus?
Use the information given in the following figure to find :
(i) x
(ii) ∠B and ∠C
Observe the figure below and find out their name.
The three angles of a quadrilateral are 71°, 110°, 95°. Find its fourth angle.
The number of obtuse angles in the following figure is ______.
Number of angles less than 180° in the following figure is ______ and their names are ______.
What conclusion can be drawn from part of given figure, if DC is the bisector of ∠ADB, CA ⊥ DA and CB ⊥ DB?
