Can two angles be supplementary if both of them are?
(i) acute?
(il) obtuse?
(iil) right?
NO: Two angles CANNOT be supplementary if both of them are ACUTE because as each angle is less than 90 degrees, their sum won't be 180 degrees.
NO:Two angles CANNOT be supplementary if both of them are OBTUSE because as each angle is more than 90 degrees, their sum would be MORE than 180 degrees.
YES. Two angles CAN be supplementary if both of them are RIGHT because as each angle is equal to 90 degrees, their sum would be exactly equal to 180 degrees.
Related Articles
- Can two angles be supplementary if both of them are:$(i)$. acute? $(ii)$. obtuse? $(iii)$. right?
- Which of the following statements is false?a) Two adjacent angles can be supplementary.b) Two adjacent angles can be complementary.c) Two obtuse angles cannot be adjacent angles.d) An acute angle can be adjacent to an obtuse angle.
- Can two acute angles be complement to each other?
- Which of the following statements are true (T) and which are false (F)?Angles forming a linear pair can both be acute angles.
- Fill in the blanks:$(i)$ If two angles are complementary, then the sum of their measures is _______.$(ii)$ If two angles are supplementary, then the sum of their measures is ______.$(iii)$ Two angles forming a linear pair are _______________.$(iv)$ If two adjacent angles are supplementary, they form a ___________.$(v)$ If two lines intersect at a point, then the vertically opposite angles are always _____________.$(vi)$ If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.
- Write down the measures of(a) some acute angles(b) some obtuse angles(give at least two examples of each)
- If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why?
- In the adjoining figure, name the following pairs of angles.$(i)$ Obtuse vertically opposite angles$(ii)$ Adjacent complementary angles$(iii)$ Equal supplementary angles$(iv)$ Unequal supplementary angles$(v)$ Adjacent angles that do not form a linear pair"
- What are Supplementary Angles?
- The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
- Two supplementary angles are in the ratio $4 : 5$. Find the angles.
- Classify each one of the following angles as right, straight, acute, obtuse or reflex:(a)(b)(c)(d)(e)(f)"
- Angles which is both supplementary and vertically opposite are i 95,85 ii 90,90 iii 100,80 iv 45,45 b The angle which makes a linear pair with an angle of 61 is of i 39 ii 61 iii 112 iv 119 C half of angle is equal to one third of its supplement. The magnitude of the angle is i 36 ii 18 iii 72 iv 78 D The angles between south- west and north- east are i complementary ii supplementary iii acute angles iv obtuse angles.
- What are complementary and supplementary angles ?
Kickstart Your Career
Get certified by completing the course
Get Started