Question

6) The arrows shot by the three archers hit a tree as shown below. Arrows A
and B are in parallel to the ground and arrow C cuts across the other two
arrows .If the larger angle made by arrows A and C is 150 °, What is the
angle at which the third archer launched arrow C?
​

Answer 1

Answer:

30°

Explanation:

Given;

A and B are parallel to the ground.

C crosses A and B.

C crosses A at an angle of 150°.

So, considering the corresponding angles C crosses B at an angle of 150°.

[Since, correspondent angles are equal]

For reference, check the image at the attachment. 2, 6 are the required correspondent angles.

Therefore, considering the alternate angles, the third archer launched arrow C at 30°.

In the image at the attachment, the alternate angles are 1 and 7. Launching the arrow on the tree, angle 7 will be angle of launch.