Answer:
Option (4)
Step-by-step explanation:
If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.
From the given picture,

95° = 
190 = 135 + 

= 55°
Therefore, option (4) will be the correct option.
Answer:
C
Step-by-step explanation:
The shape PQRS is a parallelogram
- The measure of angle QRS is 70 degrees
- The measure of angle PQS is 53 degrees
- The measure of angle RPS is 35 degrees
- The measure of angle PSQ is 53 degrees
The given parameters are:



<u>(a) Find QRS</u>
This is calculated as:

So, we have:


Hence, the measure of angle QRS is 70 degrees
<u>(b) Find PQS</u>
This is calculated as:

So, we have:


Hence, the measure of angle PQS is 53 degrees
<u>(c) Find RPS</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle RPS is 35 degrees
<u>(d) Find PSQ</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
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