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The measure of an angle is eight times the measure of a supplementary angle. what is the measure of each angle? on ixl

Respuesta :

LyraRoss26
Let one angle be x
Let second angle be 8x
Sum of supplementary angles = 180°
x+ 8x = 180°
9x = 180
x = 180/9 = 20

First angle= x= 20°
Second angle = 8x = 8*20 = 160°
I hope it is helpful:D

The measure of each angle will be 20° and 160°.

First and foremost, it should be noted that the sum of angles in a supplementary angle equals 180°.

Based on the information given, the angles will be:

First angle = x

Second angle = 8 × x = 8x

Total angles = 180°.

Therefore, x + 8x = 180°

9x = 180°

Divide both side by 9

9x/9 = 180°/9

x = 20°

The first angle = 20°

Second angle = 8x = 8 × 20° = 160°

Therefore, the first and the second angles will be 20° and 160° respectively.

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