Chapter 3, Problem 5CR

To determine

To calculate: Measure of larger angle

Answer to Problem 5CR

Larger angle is of $94°$ .

Explanation of Solution

Given information : Here, we have given that out of two supplementary angles, on angle is $8°$ larger than the other

Formula used : Supplementary angles are the angles whose sum is $180°$ .

Calculation: Let one angle be $x°$ ,

  $\Rightarrow$ Other angle = $(180-x)°$

Now, According to the question,

  $\begin{array}{l}\Rightarrow x°+8°=(180-x)°\\ \Rightarrow (x+x)°=(180-8)°\\ \Rightarrow 2x°=172°\\ \Rightarrow x°=\frac{172°}{2°}\\ \Rightarrow x°=86°\end{array}$

  $\therefore$ One angle = $x°=86°$

Other angle = $(180-x)°=(180-86)°=94°$

  $\Rightarrow$ Larger angle = $94°$