Draw and explain: Can an obtuse angle be adjacent to an acute angle? Can two acute angles be adjacent angles?

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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. Draw the triangles as suggested.
(a) An acute angled isosceles triangle.
(b) An obtuse angled scalene triangle
(c) A right angled isosceles triangle.
(d) An acute angled scalene triangle.
(e) An obtuse angled isosceles triangle.

If true then enter

1

and if false then enter

0

Can an acute angle be adjacent to an obtuse angle?

Q. Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

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

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