Answer:
See solution ( s ) below;
Step-by-step explanation:
1 . Consider the first attachment;
[tex]m< ( unknown ) = 30 degrees, - Given\\m< ( unknown ) = 108 degrees - Given,\\\\\\m< ( unknown ) + x = m< ( unknown ) - By Partition Postulate,\\30 + x = 108, - Through Algebra,\\Conclusion ; ( x = 78 degrees )[/tex]
Solution ; x = 78°
From a horizontal position, in reality we could only bed our knee to a maximum of a little less than 180 degrees. However, let's consider the max Randi can bend her leg as 180° ;
[tex]By Partition Postulate - 108 + x = 180,\\if x - degrees Randi Can Bend more,\\108 + x = 180,\\\\Conclusion ; ( x = 72 degrees )[/tex]
Solution ; Randi can bed her knee 72° further
3 . Consider 3x and 8x + 15 to be a linear pair,
[tex]3x + ( 8x + 15 ) = 180 - Linear Pair,\\\\3x + 8x + 15 = 180,\\11x + 15 = 180,\\11x = 165,\\Conclusion ; ( x = 15degrees)[/tex]
Solution ; x = 15°
