If two lines intersect at a point, then the vertically opposite angles are always ________
If two lines intersect at a point, then the vertically opposite angles are always equal
Two angles forming a linear pair are ________________.
Two angles forming a linear pair are supplementary
A line that intersects two or more lines at distinct points is called
A line that intersects two or more lines at distinct points is called transversal
If two adjacent angles are supplementary, then they form _________ .
A linear pair is two angles that are adjacent and whose noncommon sides form a straight line. If two angles are a linear pair, then they are supplementary.
If two angles are supplementary then the sum of their measures is __________.
If two angles are supplementary then the sum of their measures is 180^{°}
If two angles are complementary, then the sum of their measures is __________.
If two angles are complementary, then the sum of their measures is 90^{°}.
If ∠S and 100° form a linear pair. What is the measure of ∠S
∠S and 100° form a linear pair i.e,
∠S + 100° = 180°
∠S = 180deg  100°
∠S = 80°
In figure pair of alternate interior angles are :
Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
So in the given figure ∠2, ∠3 are alternate interior angles
Find the measure of an angle, if 7 times its complement is 10 less than 3 times its supplement
Let the angle be x
measure of its complement = (90x)
measure of its supplement= (180x)
7(90x) =3(180x)10
630  7x=540x3x 10
7x+3x= 530630
4x=100
x= 100/4
x=25
Find the measure of angle which is 32 less than its supplement
Let the supplement angle be x
given:
(x32) + x = 180
2x = 212
x= 106
The supplement angle is 106
so 32 less than it will be 74
The angle which makes a linear pair with an angle of 61deg is of
Linear pair has a sum of 180 degrees
So x+61 =180
x=180  61 =119 degrees
The sum of all angles around a point is
The sum of all angles around a point is 360deg
If two lines are intersected by a transversal such that any pair of corresponding angles are equal then the lines are
If two lines are intersected by a transversal such that any pair of corresponding angles are equal then the lines are parallel
Its a straight angle which is equal to 180 degrees.
So ,6y+y+2y = 180
9y = 180
y= 180/9 = 20 degrees
A and B are vertically opposite angles. If the measure of A is 60^{o}, what is the value of B?
When two lines intersect, then vertically opposite angles so formed are equal
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