The total measure of two adjacent angles is 168°. If one of the adjacent angles measures 107.6°, determine the measure of the other adjacent angle.
a) 275.6°
b) 197.6°
c) 72.4°
d) 60.4°
The total measure of two adjacent angles is 168°. So, if one angle measures 107.6°, the other angle can be found by subtracting this measure from the total measure of the angles:
Other angle = Total measure of angles - Measure of given angle
Other angle = 168° - 107.6°
Other angle = 60.4°
Therefore, the measure of the other adjacent angle is 60.4°.
The correct option is d) 60.4°.
Angles X and Y are supplementary. Angle X measures 126.25° and angle Y measures (m − 10)°. Find m∠Y.
a) 53.75°
b) 63.75°
c) 107.5°
d) 117.5°
Angles X and Y are supplementary, meaning they add up to 180°. Therefore:
Angle X + Angle Y = 180°
126.25° + (m - 10)° = 180°
m - 10 + 126.25 = 180
m + 116.25 = 180
m = 180 - 116.25
m = 63.75
Therefore, m∠Y = 63.75°
The correct option is b) 63.75°.