Final answer:
When two lines intersect, they form four angles. One angle measures 42 degrees, and the other three angles can be found using the fact that the sum of the angles in a triangle is 180 degrees.
Step-by-step explanation:
When two lines intersect, they form four angles. In this case, one of the angles measures 42 degrees, which we'll call angle A. The three other angles, B, C, and D, can be found by using the fact that the sum of the angles in a triangle is 180 degrees.
Since angles A and C are opposite each other and are formed by the two intersecting lines, they are equal in measure. So angle C also measures 42 degrees.
Angles B and D are adjacent to angle A and are formed by the intersecting lines. Since the sum of the angles in a triangle is 180 degrees, we can subtract angles A and C from 180 to find the sum of angles B and D. So angles B and D are equal to (180 - 42 - 42) / 2 = 48 degrees each.