Respuesta :

The definitions of the labels are:

  • acute - less than 90°
  • right -  exactly 90°
  • obtuse - more than 90°
  • straight - exactly 180°

Since RQU is the sum of RQS, SQT and TQU, it measures 19+71+18 degrees, i.e. 108 degrees, and thus it's obtuse

Similarly, SQU is the sum of SQT and TQU, so it measures 71+18 = 89 degrees, so it's acute.

Finally, RQT is the sum of RQS and SQT, so it measures 19+71=90 degrees, and it's a right angle.

obtuse, acute and right

∠RQU = 19° + 71° +18° = 108° ⇒ obtuse angle

∠SQU = 71° + 18° = 89° ⇒ acute

∠RQT = 19° + 71° = 90° ⇒ right