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प्रश्न
In Fig. 16.20, find the measure of ∠MPN.
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उत्तर
\[\text{ Since the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[45° + 90° + 90° + ∠MPN = 360° \]
\[ \Rightarrow 225° + ∠MPN = 360°\]
\[ \therefore ∠MPN = 135° \]
संबंधित प्रश्न
Given here are some figures:
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Classify each of them on the basis of the following:
- Simple curve
- Simple closed curve
- Polygon
- Convex polygon
- Concave polygon
How many diagonals does following have?
A triangle
Define the following term Quadrilateral .
In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\]
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.
Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.
ABCD is a rhombus such that ∠ACB = 40º. Then ∠ADB is ______.
Measures of the two angles between hour and minute hands of a clock at 9 O’ clock are ______.
Using the information given, name the right angles in part of figure:
AC ⊥ BD
What conclusion can be drawn from part of given figure, if DC is the bisector of ∠ADB, CA ⊥ DA and CB ⊥ DB?
