M∠GHI = 3x° and m∠LMN = 17x°. If ∠GHI and ∠LMN are supplementary, find the measure of each angle.
2 answers:
Answer:
The answers are:
m∠GHI=27
m∠LMN=153
Step-by-step explanation:
In order to determine the answer, we have to know about supplementary angles.
Two angles are supplementary when the sum of them is 180 degrees.
So, with this information, we can build an equation. This equation will be useful to determine the value of "x" variable. Then, with this value, we will determine the value of each angle.
m∠GHI+m∠LMN=3x+17x=180
Then, we can determine each angle:
m∠GHI=3*9=27
m∠LMN=17*9=153
Finally, the measure of each angle is:
m∠GHI=27
m∠LMN=153
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