One angle of a triangle is 25 degrees, another angle is 1.3 radians. Find the third angle in degrees, and also in radians.

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We are given that one angle of a triangle is 25 degrees and another angle is 1.3 radians.  We are asked to find the third angle of the triangle in degrees and radians.

We will first convert 1.3 radians to degrees.

=> (1.3)(180/pi) = 74.5 degrees

The sum of the...

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We are given that one angle of a triangle is 25 degrees and another angle is 1.3 radians.  We are asked to find the third angle of the triangle in degrees and radians.

We will first convert 1.3 radians to degrees.

=> (1.3)(180/pi) = 74.5 degrees

The sum of the angles of a triangle is 180 degrees.  We will subtract the sum of the first two angles from 180 to find the third angle in degrees.

=> 25 + 74.5 = 99.5 degrees (the sum of the first two angles)

=> 180 - 99.5 = 80.5 degrees (the third angle)

Finally, we change 80.5 degrees to radians.

(80.5)(pi/180) = 1.4 radians.

The third angle of the triangle is 80.5 degrees or 1.4 radians.

 

 

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