Q.

Riya and her sister visited their friend’s farmhouse. Upon arrival, Riya noticed that the roof of her friend’s house was shaped like a trapezium, with the dimensions indicated in the figure.

On the basis of above information, answer the following questions:

 

(ii) Find the measurement of ∠B.

1 30°  
2 20°  
3 40°  
4 25°  

Ans.

(1)

We have to find ∠B.

Since DE and CF are distances between two parallel lines AB and CD,

DE=CFIn ADE and BCF:E = F = 90°AD = BC[From Fig. 8.39] DE = CF[From Fig. 8.39] ADE  BCF[By RHS Congruency]A=B=30°