Answer:
[tex]\angle RST =110[/tex]
Explanation:
Given
[tex]\angle RPT = 70[/tex]
See attachment
Required
Find [tex]\angle RST[/tex]
To do this, we make use of the following theorem
[tex]\angle RST + \angle RPT = 180[/tex] --- angle at the center and angle between two tangents add up to 180 (i.e. they are supplementary angles)
So, we have:
[tex]\angle RST + 70 = 180[/tex]
Collect like terms
[tex]\angle RST =- 70 + 180[/tex]
[tex]\angle RST =110[/tex]
