53)
The measure of a supplement of an angle is 30 times more than 5 times the measure of an angle. Find the measure of the angle.

a) 15 deg.
b) 25 deg.
c) 65 deg.
d) 115 deg.

Question

53)
The measure of a supplement of an angle is 30 times more than 5 times the measure of an angle. Find the measure of the angle.


a) 15 deg.
b) 25 deg.
c) 65 deg.
d) 115 deg.

anonymous · Answer

30 times more than or 30 degrees more than...?

parthkohli · Answer

$\Large \color{purple}{\rightarrow 5x + 30 + x = 180 }$

$\Large \color{purple}{\rightarrow 6x = 150 }$

$\Large \color{purple}{\rightarrow x = 25 }$


So, 25 degrees and 155 degrees are the answers respectively(Sum of supplements = 180)

anonymous · Answer

yup. 30 times more than 5 times the measure of an angle

anonymous · Answer

okay, sum of an angle and its supplement=180 degree
say, the angle is x 
so, its supplement=5x+30
5x+30+x=180
x=25 degree (b)

anonymous · Answer

30 times more..?? doesn't make any sense to me.. :/

anonymous · Answer

so the answer is 25 deg?

parthkohli · Answer

It is, yes.

anonymous · Answer

i guess so

lgbasallote · Answer

my interpretation: if it's 30 times more that 5 times the angle then....

i see 2 more possible solutions

5x + 30x + x = 180

OR

30(5+x) + x = 180

your choice :D

lgbasallote · Answer

the second equation is 30(5x) + x = 180