Any one know how to do this ? 1 through 4

1. U = 54   T = 72

2. M = 76   N = 76

3. F = 134   EF = 18

4. P = 60   Q = 60   R = 60

Step-by-step explanation:

1. the triangle given is an isosceles triangle. this means that the two angles that aren't connected with a congruent side, have the same measures. These angles are also called base angles

in this case, those two angles are S and U

since we know S is 54, U will also be 54

to find the third angle, add all your know angles, then subtract it from 180. We do this because all the angles in a triangle will always add up to 180.

180 - (54 + 54) = 72

U = 54

T = 72

2. In this case M and N are your base angles. We know that the base angles are equal, and that when you add them with L, you should get 180.

we can start by subtracting L from 180 to find the sum of M and N

180 - 28 = 152

now divide this by 2 to find the individual angles:

152 / 2 = 76

so: M = 76 and N = 76

3. For this one, we can do something similar to what we did in question 1 to find F. Just add the base angle, and subtract it from 180 to find the third angle:

180 - (23 + 23) = 134

In isosceles triangles, there are two lines that are congruent, these two lines are the lines that meet at the abnormal angle. In this case, GF and EF are those lines.

so if GF is 18, then EF is also 18

4. This triangle is an equilateral triangle. This means that all sides and angles are congruent. to find the angles, all we have to do is divide 180 by 3, since there are 3 equal angles.

180 / 3 = 60

every angle is 60

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