An angle measures 114.4 more than a supplementary angle. What is the measure of each angle?
回答 (4)
2018-01-16 11:53 pm
Let y° be the smaller angle.
Then, the greater angle = (y + 114.4)°
The two angles are supplementary :
y + (y + 114.4) = 180
2y + 114.4 = 180
2y = 65.6
y = 32.8
y + 114.4 = 147.2
Hence, the two angles are 32.8° and 147.2° respectively.
Then, the greater angle = (y + 114.4)°
The two angles are supplementary :
y + (y + 114.4) = 180
2y + 114.4 = 180
2y = 65.6
y = 32.8
y + 114.4 = 147.2
Hence, the two angles are 32.8° and 147.2° respectively.
2018-01-17 1:32 am
x + (x+114.4) = 180°
x = 32.8°
x+114.4 = 147.2°
x = 32.8°
x+114.4 = 147.2°
2018-01-17 12:14 am
Let x = the angle
180 - x = supplementary angle
Therefore
x - 114.4 = 180 - x
2x = 180 + 114.4
= 284.4
x = 147.2 ...........angle
180 - x = 32.8.......... supplementary angle
180 - x = supplementary angle
Therefore
x - 114.4 = 180 - x
2x = 180 + 114.4
= 284.4
x = 147.2 ...........angle
180 - x = 32.8.......... supplementary angle
2018-01-17 12:08 am
Supplementary means a sum of 180 degrees. The rest is pre-algebra.
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