Question

Find the value of x. The diagram is not to scale

Answer 1

Answer:B-70

Step-by-step explanation:

from the figure, In $\triangle ABC\ \text{and}\ \triangle ADE$

$\Rightarrow \dfrac{45}{45}=\dfrac{24}{24}\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}$

$\therefore \text{two triangles are similar}$

Thus we can write

$\Rightarrow \dfrac{35}{x}=\dfrac{45}{45+45}\\\\\Rightarrow x=35\times \dfrac{90}{45}=35\times 2=70$