Advertisements
Advertisements
Question
In Fig. 16.20, find the measure of ∠MPN.
Advertisements
Solution
\[\text{ Since the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[45° + 90° + 90° + ∠MPN = 360° \]
\[ \Rightarrow 225° + ∠MPN = 360°\]
\[ \therefore ∠MPN = 135° \]
RELATED QUESTIONS
In a quadrilateral, define of the following Angles .
In a quadrilateral, define of the following Exterior .
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?
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.
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 =
Use the information given in the following figure to find the value of x.
Observe the figure below and find out their name.
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a ______.
Using the information given, name the right angles in part of figure:
AC ⊥ BD
