The measure of an angle is 14 times the
1 answer:
Answer:
The smaller angle is 12 and the larger angle is 168
Step-by-step explanation:
Let call the measure of the random angle a. There is a angle that is 14 times of that and supplementary to that the random angle. So that is represented by
Supplementary Angles add up to 180 degrees so let set up an equation
which equal after you combine like with like
Divide 15 by both sides and a=12 and the so smaller angle is 12 and the larger angle is 168
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Explanation:
6(2x + 5) = 2(3x – 2)
[given]
6(2x) + 6(5) = 2(3x) + 2(-2)
12x + 30 = 6x – 4
[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]
12x + 30 = 6x – 4
–6x –6x
6x + 30 = -4
[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]
6x + 30 = -4
–30 –30
6x = -34
[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]
6x = -34
÷6 ÷6
x = -34/6
[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]
x = -17/3
[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]