Answer:
20°.
Step-by-step explanation:
According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.
(4x + 27) + (9x - 115) = 107
4x + 9x + 27 - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Now that we have the value of x, we can find the m∠QPR.
9x - 115
= 9 * 15 - 115
= 135 - 115
= 20
So, m∠QPR is 20°.
Hope this helps!
Answer:
0.36x,
x
Step-by-step explanation:
36/100 = 9/25
Triangle EDC is similar to Triangle CBF by angle angle. Angle B is congruent to angle D because in a parallelogram opposite angles are congruent. Angle BFC is congruent to angle ECD because parallel lines imply alternate interior angles are congruent. FC=7 DC=16 2/3 EC=10