Mathematics

If one of the linear pair is acute then the measure of the other angle is


ANSWER

obtuse


SOLUTION
      A linear pair is a pair of adjacent, supplementary angles. 

$$\Rightarrow$$  Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal $$180^o$$. 

$$\Rightarrow$$  $$\angle ABD$$ and $$\angle DBC$$ are linear pair.
$$\therefore$$  $$\angle ABD+\angle DBC=180^o.$$

$$\Rightarrow$$  $$\angle ABD+60^o=180^o$$

$$\Rightarrow$$  $$\angle ABD=120^o$$

$$\therefore$$   If one of the linear pair is acute then the measure of the other angle is $$obtuse.$$
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