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33 votes
33 votes
drag each label to the correct location on the figure. not all labels will be used. find the missing angle measurements. 60°, 64°, 45°, 49°, and 53°.

drag each label to the correct location on the figure. not all labels will be used-example-1
User Lucas Ayala
by
3.3k points

1 Answer

14 votes
14 votes
Answer:

The angles to use are:

45 degrees, 64 degrees, and 60 degrees

45 for the lower triangle

64 for the angle opposite the given 64 degrees

60 for the last angle

Step-by-step explanation:

The missing angle in the lower triangle can be obtained using the fact that the sum of angles in a triangle is 180 degrees.

Suppose the missing side is x, then

x + 64 + 71 = 180

x + 135 = 180

x = 180 - 135

= 45

For the ones in the upper triangle, the angle close to 64 degrees is also 64 degrees

Now, using the same theorem as for the lower triangle, we have:

y + 56 + 64 = 180

y + 120 = 180

y = 180 - 120

= 60

User Lincz
by
2.4k points