SOLUTION: If the meaning of an angle and its supplement are in the ratio 13:23, then the measure of the larger angle, in degrees, is:
A) 65
B) 108
C) 115
D) 130
E) 144
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Question 1123473: If the meaning of an angle and its supplement are in the ratio 13:23, then the measure of the larger angle, in degrees, is:
A) 65
B) 108
C) 115
D) 130
E) 144
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If the meaning of an angle and its supplement are in the ratio 13:23, then the measure of the larger angle, in degrees, is:
let’s an angle be and its supplement
we know their sum is:
....eq.1
if their ratio , we have
....eq.2
solve the system:
start with
....eq.1 and solve for
....eq.1a
substitute in eq.2
....eq.2...solve for
°
find
....eq.1a
°
so, the measure of the larger angle is: C) °
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