A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degr
ees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
2 answers:
Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:
Substitute the values of both angle to solve the equation:
Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
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