Question

in the adjoing figure, abcd is a trapezium. If angle a : angle b =5:7 ,b = 3x+ 11 and c = 5x -31 , then find all the angles in the trapezium​

Answer 1

Step-by-step explanation:

nth term of an A.P (an) = pn + q

To find: Common Difference (d)

Proof: We know that,

an = a + (n – 1)d

⇒ pn + q = a + (n – 1)d [given]

⇒ pn + q – a = (n – 1)d

Answer 2

Answer:

Ans. Angle sum of a convex quadrilateral = (4 – 2) × 180° = 2 × 180° = 360°

Since, quadrilateral, which is not convex, i.e. concave has same number of sides i.e. 4 as a convex quadrilateral have, thus, a quadrilateral which is not convex also hold this property. i.e. angle sum of a concave quadrilateral is also equal to 360°

Q4. Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)