Respuesta :

maugdieladiaz8698
Suppose m∠1 = x degree

m∠2 = 17 x degree

As angle 1 & 2 are supplementary angles so

m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get

x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.

The angle 2 measure of the supplementary angle m∠2 is 153°.

What is supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees. We can calculate supplementary angles by subtracting the given one angle from 180 degrees.

For the given situation,

Let the known angle be y and the unknown angle be x.

The measure of angle 1, ∠y = m∠1 = 27°

The formula to find supplementary angle is ∠x = 180° – ∠y

⇒ [tex]\angle x=\angle 180-\angle27[/tex]

⇒ [tex]\angle x=153[/tex]

Hence we can conclude that the angle measure 2 of the supplementary angle m∠2 is 153°.

Learn more about supplementary angles here

https://brainly.com/question/17000619

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