Question

Given that the quadrilateral ABCD is similar to the quadrilateral PQRS find the values of the unknowns in each of the following pairs of quadrilateral

Answer It ​With Proper Method and Reason

Answer 1

Answer: (a) x°=95° and ∴ y°=52°

               (b) x°=80°

Step-by-step explanation:

• First of all we need to know what is similarity?
• Two figures are said to be similar when they have the same shape but not same size.Maybe one figure is the enlarged form of other figure.

(a) In the figure Quad.ABCD is similar to Quad.PQRS.

     So, x°=95°.

     Sum of angles of a quadrilateral is 360°.

     ∴∠BCD=360°-(105°+95°+108°)

                  =360°-308°

                  =52°

    ∴ y°=52°

• Hence,x°=95° and ∴ y°=52°.

(b) Similarly Quad.ABCD is similar to Quad.PQRS,  also AB║CD and  PQ║RS.

    ∵  PQ║RS

    So,  ∠RSP+∠QPS=180°     [∵ co-interior angles]

        ⇒∠RSP=180°-100°

        ∴ ∠RSP=80°

 ∴ x°=80°

• Hence,x°=80°.

#SPJ3

 

Answer 2

Answer:

a) x०=95० and y०=52०

x०=80०