Asked by Anna

The m<A is 10 more than 4 times its supplement. Find the m<A.




I don't understand how to solve this problem.. Thank You for your help.
Answered by Reiny
let angle A be Ø
its supplement is 180-Ø

so Ø = 4(180-Ø) - 10
Ø = 720 - 4Ø - 10
5Ø = 710
Ø = 142

check:
if Ø = 142, then its supplement is 38

is 4x38 - 10 equal to 142 ???
Answered by Anna
Ya its correct
Answered by Anna
Thank You
Answered by Henry
Supplement = X DEG.
A = 4X + 10.
X + (4X + 10) = 180,
5X + 10 = 180,
5X = 180 - 10,
SX = 170,

X = 170 / 5 = 34.

A = 4*34 + 10 = 146 Deg.
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