Since RU = TU = 14, it means that RT = 28. This is because RU + UT = RT, and RU = TU = 14.
Since RT is an isosceles triangle (RT = TU), we know that angle T is congruent to angle R. Therefore, m∠RTS = m∠RTU = m∠R.
Since m∠TSU = 41°, and m∠TSU + m∠RTS = 180° (because they are adjacent angles on a straight line), we can calculate m∠RTS.
m∠RTS + m∠TSU = 180°
m∠RTS + 41° = 180°
m∠RTS = 180° - 41°
m∠RTS = 139°
Since m∠RTS = m∠R, it means that m∠R = 139°.
Finally, to find m∠RSU, we can subtract the given angle m∠TSU from the angle formed by the two adjacent angles.
m∠RTU + m∠TSU + m∠RSU = 180°
14 + 41 + m∠RSU = 180°
m∠RSU = 180° - 14 - 41
m∠RSU = 125°
Therefore, m∠RSU is 125°.
If RU = TU = 14 and m∠TSU =41°, what is m∠RSU?
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