If the sum of two equal angles is supplementary - then each angle will be a- an nbsp- - nbsp-right angleacute anglestraight angleobtuse angle

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Standard VI

Mathematics

Lines in a Triangle

If the sum of...

Question

If the sum of two equal angles is supplementary , then each angle will be a/ an _____.

right angle

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acute angle

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obtuse angle

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straight angle

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Solution

The correct option is A right angle
Given: Sum of two equal angles is supplementary.
So, sum of two equal angles is $180^{o}$ .
Let the angles be $x$
So, $x + x = 180^{o} 2 x = 180^{o} x = \frac{180^{o}}{2} = 90^{o}$
If the sum of two equal angles is 180° , then each angle will be a right angle.

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Similar questions

Answer the following questions and justify.
(i) Can two acute angles he complement to each other?
(ii) Can two obtuse angles be complement to each other?
(iii) Can two right angles he complement to each other?
(iv) Can two acute angles be supplementary?
(v) Can two obtuse angles be supplementary?
(vi) Can two right angles be supplementary?
(vii) Can two adjacent angles be supplementary?
(viii) Can two adjacent angles be complementary?
(ix) Can two obtuse angles be adjacent angles?
(x) Can an acute angle be adjacent to an obtuse angle?
(xi) Can two acute angles form a linear pair?
(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Q. The supplementary angle of an acute angle will always be an _______ angle, whereas the supplementary angle of an obtuse angle will always be an _______ angle.

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Q. If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

1) one obtuse angle and one acute angle
2) two right angles
3) one right angle and one acute angle
4) two acute angles

Question 12
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
a) One obtuse angle and one acute angle
b) One right angle and one acute angle
c) Two acute angles
d) Two right angles

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If the sum of two equal angles is supplementary , then each angle will be a/ an _____.

The correct option is A right angleGiven: Sum of two equal angles is supplementary. So, sum of two equal angles is 180o. Let the angles be x So, x+x=180o2x=180ox=180o2=90o If the sum of two equal angles is 180° , then each angle will be a right angle.

The correct option is A right angle
Given: Sum of two equal angles is supplementary.
So, sum of two equal angles is $180^{o}$ .
Let the angles be $x$
So, $x + x = 180^{o} 2 x = 180^{o} x = \frac{180^{o}}{2} = 90^{o}$
If the sum of two equal angles is 180° , then each angle will be a right angle.