This statement implies that we can find the angle m∠14 by subtracting 78 from 180 (180 - 78). But if we add 180 to both sides of the equation, we get 360 + m∠12 = 180 + m∠14. Solving for m∠14 gives us:
m∠14 = 180 - (180 + 78) = 18 - 108 = -90.
The statements are true because if you have an angle with a measure of 18 degrees, then adding 90 degrees to it will give you a new angle with a measure of 90 degrees.
Statement 2: If m∠6 = 116, then m∠13 = 64.
This statement implies that we can find the angle m∠13 by subtracting 116 from 360 (360 - 116). But if we add 360 to both sides of the equation, we get 360 + m∠6 = 360 + 116. Solving for m∠6 gives us:
Answers & Comments
Step-by-step explanation:
Statement 1: If m∠12 = 78, then m∠14 = 102.
This statement implies that we can find the angle m∠14 by subtracting 78 from 180 (180 - 78). But if we add 180 to both sides of the equation, we get 360 + m∠12 = 180 + m∠14. Solving for m∠14 gives us:
m∠14 = 180 - (180 + 78) = 18 - 108 = -90.
The statements are true because if you have an angle with a measure of 18 degrees, then adding 90 degrees to it will give you a new angle with a measure of 90 degrees.
Statement 2: If m∠6 = 116, then m∠13 = 64.
This statement implies that we can find the angle m∠13 by subtracting 116 from 360 (360 - 116). But if we add 360 to both sides of the equation, we get 360 + m∠6 = 360 + 116. Solving for m∠6 gives us:
m ∠ 6 = 7 0 6 + 360 − 1 2 6 − 1 2 0 6 = 5 7 9 .