Answer: (1: 70 degrees) (2: 110 degrees) (3: 35 degrees)
Step-by-step explanation:
For the first triangle, we know that the angles in total add up to 180 degrees. You already know two angles (40 and 70).
Let's, for now, label angle 1 as x.
40 + 70 + x = 180, since the sum of the angles add up to 180
110 + x = 180, no problems right?
110 - 110 + x = 180 - 110
x = 70
Now there's angle 2.
Let's label angle 2 as y.
We know angle 1 by now, and we should know that y + 70 = 180, since the two angles form a line together. A line is always 180 degrees.
y + 70 = 180
y + 70 - 70 = 180 - 70
y = 110
Now there's the last angle, angle 3
Let's label angle 3 as z
Repeating what we did for angle 1, we already know two angles (110 and 35)
110 + 35 + z = 180
145 + z = 180
145 - 145 + z = 180 - 145
z = 35
There you have it! The answer, but this was the long way. The short way is much simpler, but harder to teach without a one-on-one lesson.
Don't forget units!
