Question

please solve question number 25 to 35

Answer 1

hey friend your answer


25. 135°

as all the side of regular octagon are equal and the enterior angles are too

therefore there are 8 angles and sum is 1080


let each angle as x then


$x + x + x + x + x + x + x + x = 1080 \\ \\ 8x = 1080 \\ x = \frac{1080}{8} \\ \\ x = 135$



26.as we know that the sum of all angles in a straight line is 180°

therefore-
$3x + 8x + 7x = 180 \\ \\ 18x = 180 \\ \\ x = 10$
27.as we know that the sum of all angles on linear pair is 180

then

$given \: equation \: = a - b = 80 \\ \\ and \: we \: know \: a + b = 180 \\ \\ \\ therefore \: add \: both \: equations \\ \\ \\ a - b + a + b = 80 + 180 \\ \\ \\ 2a = 260 \\ \\ a = 130 \\ \\ \\ \\ a + b = 180 \\ \\ 130 + b = 180 \\ \\ b = 50$
a=130
b=50




28.sum of all angles =180

$x + 10 + 3x + x + 20 = 180 \\ 5x + 30 = 180 \\ 5x = 180 - 30 = 150 \\ x = \frac{150}{5} \\ x = 30$

29. see figure above



if angle 1= angle 2
then we can say that
l is parallel to m



30.