Question

Fill in the blanks with acute, obtuse, right or straight:

When the sum of the measures of two angles is that of a right angle, then each one of them is _______

Answer 1

Define acute angles

A right angle is the one whose measure is $90°$ and an acute angle is the one whose measure is less than $90°$.

So, when two angles are added, to make their resultant sum equal to $90°$, possibly only acute angles can be added.

For example: Given, sum as $90°$. Let the 2 angles be equal and the measure of each be $x°$. Now when both are added,

$$\begin{gathered} \Rightarrow x+x=90° \\ \Rightarrow 2x=90° \\ \Rightarrow x=45° \end{gathered}$$

So, the value of $x$ is $45°$ which is an acute angle.

Therefore, when the sum of the measures of two angles is that of a right angle, then each one of them is an acute angle.