Question

Please help! Use the figure to find the measure of each angle that does not have a given value. Normally there would be a picture of a triangle showing exterior and interior angles, instead, I'll just describe the photo. On the left side, on the outside we have 131 degrees, then, inside on the same side we have a 1. On the top right we have a 4 on the outside and a 3 on the inside. Finaley, at the bottom right we have a 68 on the inside and a 2 on the outside. These are all degrees. Sorry if I did a bad job of explaining! Then its asking what M1, M2, M3, and M4 are.

Answer 1

Answer: I understand your question...According to the information you provided, we have the following values for the angles:

M1 = 131°

M2 = 180° - 4° - 3° = 173°

M3 = 68°

M4 = 180° - 2° - 68° = 110°

Therefore, the measure of each angle that does not have a given value are:

M2 = 173°

M4 = 110°

I hope this helps!

Answer 2

Thank you for the description of the angles in the figure. Based on the information provided, we can determine the measures of the missing angles as well as identify M1, M2, M3, and M4:

1. The exterior angle (1) and the interior angle (131) on the left side form a straight line. In a straight line, the sum of the angles is 180 degrees. So, to find the measure of angle 1:

1 + 131 = 180

132 = 180

Angle 1 = 180 - 132

Angle 1 = 48 degrees

2. The exterior angle (4) and the interior angle (3) on the top right also form a straight line. So, angle 4 is:

4 + 3 = 180

Angle 4 = 180 - 3

Angle 4 = 177 degrees

3. The exterior angle (2) and the interior angle (68) on the bottom right also form a straight line. So, angle 2 is:

2 + 68 = 180

Angle 2 = 180 - 68

Angle 2 = 112 degrees

Now, let's identify M1, M2, M3, and M4 based on the angles:

- M1 corresponds to angle 1, which we found to be 48 degrees.

- M2 corresponds to angle 2, which we found to be 112 degrees.

- M3 corresponds to angle 3, which was given as 3 degrees.

- M4 corresponds to angle 4, which we found to be 177 degrees.

So, the measures of the angles are as follows:

- M1 = 48 degrees

- M2 = 112 degrees

- M3 = 3 degrees

- M4 = 177 degrees.