The measure of the adjacent angles of a quadrilateral and are 125 degree and 35 degree and the other two angles are equal . Find the measure angle of each of the equal angles.
Answers
Answer:
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SOLUTION:As in the question it is given that Angle A and b are equal
Then, A = B (equal)
As, D = 40 Degree
C = 60 Degree
Now we will add the known measures of angles.
That is, D+C = 40+60 = 100 Degree
Total measure of all angles in a quadrilateral = 360 Degree
For the measure of sum of <A and <B we should subtract the known angle sum measure from total measure
of a quadrilateral.
Therefore, A+B=[360-(C+D)]=360-100=260 Degree
Let the value of Angle A = x
Therefore the sum of Angle A and B = x+x(For b also as there measure are equal,given in the question)= 2x
Measure of sum of Angle A and B = 260
Or, 2x = 260
Or, x =260/2
Or, x = 130 Degree
SOLUTION:As in the question it is given that Angle A and b are equal
Then, A = B (equal)
As, D = 40 Degree
C = 60 Degree
Now we will add the known measures of angles.
That is, D+C = 40+60 = 100 Degree
Total measure of all angles in a quadrilateral = 360 Degree
For the measure of sum of <A and <B we should subtract the known angle sum measure from total measure
of a quadrilateral.
Therefore, A+B=[360-(C+D)]=360-100=260 Degree
Answer:
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