Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?
Accepted Solution
A:
Answer:142° is the measure of angle 2.Step-by-step explanation:When two lines intersect, they make four angles. The angles facing each other are equal. Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.The measure of angle 3 = 38 degrees.We know that the angle 1 is against angle 3 and is equal to 38.Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.Now, the sum of all four angles = 360 degrees∠1 + ∠2+ ∠3 + ∠4 = 360°38° + x + 38° + x = 360°2x = 360° - 76°2x = 284°x = 142°Hence, ∠2 = 142°