Q. 243.8( 15 Votes )
PQRSTU is a regular hexagon, Determine each angle of ΔPQT.
Answer :
The sum of interior angles of a polygon = (n – 2) × 180°
The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°
Measure of each angle of hexagon =
Proved above
In Δ PUT
[Angle sum property of a triangle]
[Since ΔPUT is isosceles triangle]
Similarly
Therefore
[Using angle sum property of triangle in ΔPQT]
Rate this question :






















The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. Then PQRS is a
NCERT - Mathematics ExemplarIn a quadrilateral, define each of the following:
(i) Sides
(ii) Vertices
(iii) Angles
(iv) Diagonals
(v) Adjacent angles
(vi) Adjacents sides
(vii) Opposite sides
(viii) Opposite angles
(ix) Interior
(x) Exterior
RD Sharma - MathematicsThe four angles of a quadrilateral are as 3 ; 5 : 7 : 9. Find the angles.
RD Sharma - MathematicsTwo 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?
RD Sharma - MathematicsThe three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
RD Sharma - MathematicsA quadrilateral has all its four angles of the same measure. What is the measure of each?
RD Sharma - MathematicsThree angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
RD Sharma - MathematicsWhich one has all the properties of a kite and a parallelogram?
NCERT - Mathematics ExemplarA quadrilateral whose opposite sides and all angles are equal is a
NCERT - Mathematics ExemplarA quadrilateral has three acute angles. If each measures 80°, the measure of the fourth angle is
NCERT - Mathematics Exemplar