Question

Please help me!!! i’ll mark you as brainliest

Answer 1

Answer:

$\angle 1+\angle 5 = 90$

Step-by-step explanation:

Given

The attached plot

Required

Prove that:

$\angle 1+\angle 5 = 90$ --- right angle

From the plot, we have:

$\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360$ --- angle at a point

$\angle 2+\angle 3 = 180$ --- straight line

$\angle 4 = 90$ --- This divides $\angle 2 + \angle 3$ to equal parts

So, we have:

$\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360$

$\angle 1+ (\angle 2 + \angle 3) +(\angle 4)+\angle 5 = 360$

This gives:

$\angle 1+ 180 +90+\angle 5 = 360$

$\angle 1+ 270+\angle 5 = 360$

Collect like terms

$\angle 1+\angle 5 = 360-270$

$\angle 1+\angle 5 = 90$ --- proved