the sum of two angles of a triangle is 116 degree and their difference is 24 degree find the measure of each angle of the triangle
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The sum of two angles of a triangle is 116 degree and their difference is 24 degrees. What is the measure of each angle of the triangle?
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Benjamin Yeo, Student
Answered Jun 14, 2018
We shall name the three angles a and b and c
Assuming a and b are the given angles here,
A+B = 116 degrees
A-B = 24 Degrees
2A = 116+24 degrees
= 140 degrees
A = 70 degrees
B = 46 degrees
Third angle = 180 - 70 -46 =64 degrees
Hence the three angles are 70 degrees, 46 degrees and 64 degrees.
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3 ANSWERS

Benjamin Yeo, Student
Answered Jun 14, 2018
We shall name the three angles a and b and c
Assuming a and b are the given angles here,
A+B = 116 degrees
A-B = 24 Degrees
2A = 116+24 degrees
= 140 degrees
A = 70 degrees
B = 46 degrees
Third angle = 180 - 70 -46 =64 degrees
Hence the three angles are 70 degrees, 46 degrees and 64 degrees.
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