Question

Find the supplement of 7/8 right angle

Answer 1

Given:

First Angle = 7/8 right angle

i.e.

$\angle 1 = \dfrac{7}{8} \times 90^\circ\\\Rightarrow \angle 1 = \dfrac{7}{4} \times 45^\circ\\\Rightarrow \angle 1 = \dfrac{315}{4}^\circ$

We have to find the supplement of $\angle 1$.

Let $\angle 2$ be the supplement of $\angle 1$.

As per the property of Supplementary angles, the sum of angles is $180^\circ$.

i.e. $\angle 1 + \angle 2=180^\circ$

Putting value of $\angle 1$ :

$\dfrac{315}{4} +\angle 2 = 180\\\Rightarrow \angle 2 = 180-\dfrac{315}{4}\\\Rightarrow \angle 2 = \dfrac{180\times 4 -315}{4}\\\Rightarrow \angle 2 = \dfrac{720-315}{4}\\\Rightarrow \angle 2 = \dfrac{405}{4}\\\Rightarrow \angle 2 = \dfrac{810}{8}\\\Rightarrow \angle 2 = \dfrac{90 \times 9}{8}\\\Rightarrow \angle 2 = \dfrac{9}{8} \times 90^\circ$

So, the supplement angle is $\angle 2 = \dfrac{9}{8} \ right\ angle$.

Answer 2

Answer:

Step-by-step explanation:

ans-Supplement=180-((7/8)*90)=101.25degrees, hope you understood.