ind the measurement of ?B.

Question

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.

Smart Achievers · Accepted Answer

(1)

We have to find ∠B.

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

$D E = C F I n △ A D E a n d △ B C F : ∠ E = ∠ F = 90 ° A D = B C [F r o m F i g . 8.39] D E = C F [F r o m F i g . 8.39] ∴ △ A D E ≅ △ B C F [B y R H S C o n g r u e n c y] \Rightarrow ∠ A = ∠ B = 30 °$

Solution

1 $30 °$

2 $20 °$

3 $40 °$

4 $25 °$

Want Us to Email you About Special Offers & Updates?

Solution

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°

Want Us to Email you About Special Offers & Updates?

1 $30 °$

2 $20 °$

3 $40 °$

4 $25 °$