in a triangle one of the exterior angles is 105°.one of the interior opposite angle is 75°.find the measure of all the angles of the triangle
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Answered by
156
If the exterior angle is 105 degree then the interior angle will be 75 degree to satisfy the linear pair (linear pair=180 degree)
so we came to know the degree of 2 angles in a triangle.
1 angle =75 degree
2 angle = 75 degree
to find the third angle lets use the angle sum property.
angle 1+angle 2+angle 3= 180 degree
75 degree+75 degree+angle 3=180 degree
150 degree+angle 3=180 degree
angle 3=180-150
angle 3=30 degree
SO
angle 1=75 degree
angle 2=75 degree
angle 3=30 degree
hope this helps
so we came to know the degree of 2 angles in a triangle.
1 angle =75 degree
2 angle = 75 degree
to find the third angle lets use the angle sum property.
angle 1+angle 2+angle 3= 180 degree
75 degree+75 degree+angle 3=180 degree
150 degree+angle 3=180 degree
angle 3=180-150
angle 3=30 degree
SO
angle 1=75 degree
angle 2=75 degree
angle 3=30 degree
hope this helps
Answered by
120
required answers are put in box.... done my efforts hope it helps ........ if does help then brainliest please
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