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What is the measure of angle one in the following cases?

A. When the measure of angle two is 15.6 degrees.
B. When the measure of angle four is 56.2 degrees.
C. When the measure of angle seven is 36.3 degrees.

Answer :

The value of angle 1 in each case is:

1) ∠1 = 164.4°

2) ∠1 = 123.8°

3) ∠1 = 143.7°

What is the value of the missing angle?

1) We are told that:

∠2 = 15.6°

Now, ∠1 is a supplementary angle to ∠2 and as such they sum up to 180 degrees. Thus:

∠1 = 180 - 15.6

∠1 = 164.4°

2) We are told that:

∠4 = 56.2°

Now, ∠1 is a supplementary angle to ∠4 and as such they sum up to 180 degrees. Thus:

∠1 = 180 - 56.2

∠1 = 123.8°

3) We are told that:

∠7 = 36.3°

Now, ∠1 is a supplementary angle to ∠7 and as such they sum up to 180 degrees. Thus:

∠1 = 180 - 36.3

∠1 = 143.7°

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