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In a parallelogram A B C D , the point P on a segment A B is taken such that A P A B = 61 2022 and a point Q on the segment A D is taken such that A Q A D = 61 2065 . If P Q intersects A C at T , find A C A T to the nearest integer.

Correct answer

67

Step-by-step solution

Here, = 61 2022 and = 61 2065 t = b + d 1+ = b + d 1+ So, 1 1+ = 1+ and 1 1+ = 1+ aligned & = hence 1 1+ = 1+ & 1+ = + aligned Clearly, aligned A C A T = 1+ 1 & = + = 1 + 1 & = 2022 61 + 2065 61 & = 4087 61 =67 aligned

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