# Please solve q 85 ?

##### 1 Answer

May 20, 2018

9

#### Explanation:

For the triangles

- It is easy to see that
#/_BPA # is common #/_ACP# is obtuse - so it can not be equal to#/_ABP# , and thus it must be equal to the remaining angle,#/_PAB# - Finally, we must have
#/_PAC=/_ABP#

By the property of similar triangles we have

Denoting

Hence

and thus

Thus