MATHS Fill In The Blanks[1 Marks ]

The supplement of an acute angle is an obtuse angle.
Explanation:
As the sum of the supplementary angles is180°.
Let one of the angle measure x°, such that x < 90.
Let the other angle measures y°.
As the angles are supplementary there sum is 180°.
x + y = 180° ...(1)
x < 90° ...(2)
Now subtracting (1) from (2)
-y < -90°
y > 90°
Then, other angle y is clearly an obtuse angle.
Illustration:
Let the given acute angle be 30°
Then, the other angle becomes
(180 - 30)° = 150°
This is clearly an obtuse angle.

If a transversal intersects a pair of lines in such a way that a pair of alternate angles we equal. then the lines are parallel.

Two lines parallel to the same line are parallel to each other.

If the sum of two adjacent angles is 180°, then the Uncommon arms of the two angles are opposite rays.

If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary.

Two lines perpendicular to the same line are parallel to each other.

We have to find the supplement of a right angle.
We know that a right angle is equal to 90°.
Let the required angle be x°.
Since the two angles are supplementary, therefore their sum must be equal to 180°.
Thus, the require angle becomes
x = (180 - 90)°
x = 90°

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the seine side of transversal is 180'. then the lines are parallel.

If one angle of a linear pair is acute, then its other angle will be Obtuse.

The complement of an acute angle is an acute angle.
Explanation:
As the sum of the complementary angles is 90°.
Let one of the angle measures x°.
Then, other angle becomes(90 - x)°, which is clearly an acute angle.

If two parallel lines are intersected by a transversal, then each pair of corresponding angles are equal.

A ray stands on a line, then the sum of the two adjacent angles so formed is 180°.