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Dmitry_Shevchenko [17]
3 years ago
11

Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one

minute is equal to 60 seconds. Suppose that ∠J and ∠K are complementary and that the measure of ∠J is 41 degrees, 38 minutes, 9 seconds. What is the measure of ∠K?
Pleaseee answer now!!!
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

The measure of ∠K is 49 degrees 22 minutes 51 seconds.

<u>Step-by-step explanation:</u>

Given that ∠J and ∠K are complementary.

∠J = 41°38'9".

∠K = ?

When a sum of two angles result is 90°, then it is called as complementary angles.

Since ∠J and ∠K are complementary, then their sum is 90°.

∠J +∠K=90°.

∠K= 90° - ∠J.

=90°60'60" - 41°38'9".

=49°22'51".

∠K= 49 degrees 22 minutes 51 seconds.

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