Question

23. Which of the following statements are true and which are false? Give reasons.
a) Angles forming a linear pair are supplementary
(b) If two adjacent angles are equal, then each angle measure 90°
(c) If two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then
the other pair of vertically opposite angles will be formed by obtuse angles.​

Answer 1

Answer:

Statement A is correct

Statement B is incorrect

Step-by-step explanation:

a)Sum it up: Supplementary angles are two angles whose sum is 180°. A linear pair (two angles that form a line) will always be supplementary. The two angles can be adjacent or non-adjacent.

b)No it is not necessary.

Two angles are said to be adjacent when they have common vertex, a common side but do not overlap. They can be of any measure. For example, 33° and 25° can be two adjacent angles.

Answer 2

Answer:

sum of two angle are always 180