Question

Two paths in a park intersect so that one of the angles at the intersection is 75°. What are the three other angle measurements formed by the intersection? A. 15°, 75°, 175° B. 65°, 105°, 135° C. 75°, 105°, 105° D. 75°, 115°, 115°

Answer 1

If one of the angles at the intersection is 75°, then the other three angles must add up to 180° (since they are forming a straight line).

To find the other angles, we can subtract 75° from 180° to get 105°. Then, since there are two other angles, we divide 105° by 2 to get 52.5°.

So that means, the three other angle measurements formed by the intersection are:

B. 65°, 105°, 135°