After matching each pair of angle with the remaining angle 1st pair - 38 degree-3rd option, 2nd pair - 62 degree -4th option,3rd pair - 65 degree- 2nd option,4th pair - 33 degree- 1st option
According to Angle sum property of a triangle, the sum of all the interior angles is equal to 180 degree.
It is given the question that
Four pairs of Angles are given , these pairs belong to a triangle and it is been asked to determine the third angle
Let the third angle is x for all the options
1. 119 degrees and 23 degrees
119+23+ x = 180
x = 38 degrees
2. 16 degrees and 102 degrees
16+102+x = 180
x = 62 degree
3. 28 degrees and 87 degrees
28+87 +x = 180
x = 65 degree
4. 96 degrees and 51 degrees
96 + 51+x = 180
x = 33 degree
Therefore the match is as follows
1st pair - 38 degree-3rd option
2nd pair - 62 degree -4th option
3rd pair - 65 degree- 2nd option
4th pair - 33 degree- 1st option
To know more about Angle Sum Property
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