Summary: Two angles can be supplementary if
both are right angles
.
Can two angles be supplementary if both of them are obtuse justify your answer with a reason?
Answer: Two angles are said to be supplementary if their sum is 180°. Obtuse angle is greater than 90° and when we will add two obtuse angles their sum will be greater than 180°. Hence
if both angles are obtuse they cannot be supplementary
.
Can 2 angles be supplementary if both of them are obtuse?
As we know that obtuse angle is always greater than 900. So, the sum of two obtuse angles always makes greater than 1800. ∴
Sum of two obtuse angles cannot make a supplementary angle
.
Can 2 obtuse angles be adjacent angles?
Two obtuse angles can be adjacent
. Their sum will be greater than 180∘ . Consider the following example of adjacent obtuse angles.
Can you have a triangle with two right angles Yes No?
Because of the fact that the sum of the three interior angles
Can 2 acute angles be adjacent angles?
Two angles ∠A are vertical (formed by two intersecting lines) and acute (smaller than 90o ). Angles ∠
1 and ∠2 are adjacent
(share one side) and acute. … Two acute angles cannot be supplementary (sum of them should equal to 180o ) because each of them is smaller than 90o .
Can an acute angles be adjacent angles?
“
Two acute angles can be adjacent angles
“.
Can adjacent angles be more than 180 degrees?
Two obtuse angles
can be adjacent. Their sum will be greater than 180∘ .
Can a triangle have 2 right angles Why?
No, a triangle can never have 2 right angles
. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.
Is it possible to have a triangle in which two of the angles are right angles?
Because of the fact that the sum of the three interior angles
Can a triangle have 3 right angles?
A triangle can have one right angle
. … Sum of Interior Angles = 540′. Four right angles would leave 180′, which is impossible. So a pentagon has a maximum of three right angles, as shown.
When both angles are acute then angles are?
Two angles ∠A are
vertical
(formed by two intersecting lines) and acute (smaller than 90o ). … Two acute angles cannot be supplementary (sum of them should equal to 180o ) because each of them is smaller than 90o .
What can two acute angles be?
Two acute angles can sum to be either greater than, less than, or equal to a right angle. Two acute angles can be
complementary angles
(adding to 90° ). Two acute angles alone cannot sum to make a straight angle (180° ).
Can 2 right angles form a linear pair?
Measure of right angles is 90°. Hence, we can say that
two right angles can form a linear pair
.
Are two acute angles always supplementary?
Acute angle are those measured less than 90o . Therefore,
two acute angle cannot be supplementary to each other
.
Are acute and obtuse angles always supplementary?
An
acute and an obtuse angle are always supplementary
. The supplement of an obtuse angle is always an acute angle. For angles to be called supplementary, they must add up to 180° and also appear in pairs.
