When two straight lines intersect, one of the angles is 84 degrees larger than the other. Find all four corners.

1.∠1, ∠2, ∠3, ∠4 – angles formed at the intersection of two straight lines:

2. According to the problem statement, one of the angles is 84 ° larger than the other. Suppose ∠1 is larger than больше2 adjacent to it by 84 °. That is, ∠1 = ∠2 + 84 °.

3. According to the properties of adjacent angles, their total value is 180 °:

∠1 + ∠2 = 180 °. We substitute here ∠2 + 84 ° instead of ∠1:

∠2 + 84 ° + ∠2 = 180 °.

2∠2 = 96 °.

∠2 = 48 °.

∠1 = 48 ° + 84 ° = 132 °.

4.∠1 = ∠3 = 132 °, ∠2 = ∠4 = 48 °. The angles shown are equal as vertical.

Answer: ∠1 = ∠3 = 132 °, ∠2 = ∠4 = 48 °