Imagine a triangle with a line extending out of it, I know two of the angles are 63° and 60°.
I know the missing angle in the triangle is 57. The angle 57 is next to the line with the missing angle.
But I am solving for angle m1.
How do I solve this or set this up?
It's a multiple choice:
A. 57°
B. 63°
C. 117°
D. 123°
I'm sorry this is so confusing.. I'd be grateful for any help
I think it's 123?
To solve this problem, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Here's how you can set up the problem:
1. Start by drawing a triangle and label the angles you know. In this case, we know that two angles are 63° and 60°. Label them accordingly.
```
/\
/ \
/____\
```
Triangle with angles labeled:
A = 63°
B = 60°
2. You are given that the missing angle in the triangle is 57° and it is next to the line with the missing angle. Let's label the missing angle as "m1" and the line as "line1".
```
/\
/ \
/____\ m1
line1
```
Triangle with missing angle and line labeled:
A = 63°
B = 60°
m1 = ?
line1
3. Since the sum of the angles in a triangle is 180 degrees, we can set up an equation to solve for the missing angle m1.
A + B + m1 = 180°
Substitute the known values into the equation:
63° + 60° + m1 = 180°
4. Solve for m1 by rearranging the equation:
m1 = 180° - (63° + 60°)
m1 = 180° - 123°
m1 = 57°
Therefore, the missing angle m1 is 57°. Comparing it with the given answer choices:
A. 57° (This matches with our solution)
B. 63° (This is one of the known angles in the triangle)
C. 117° (This is not the correct answer)
D. 123° (This is the sum of the known angles, not the missing angle)
The correct answer is A. 57°.