The calculated measure of angle KSD is 93 degrees
How to determine the measure of angle KSD in degrees
From the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
AB || CD
m∠LRB = 7x + 10
m∠RSC = 8x + 5
This means that the line segments AB and CD are parallel lines
By the theorem of corresponding angles and angles on a line, we have
m∠LRB + m∠RSC = 180
This means that
7x + 10 + 8x + 5 = 180
So, we have
15x = 165
Evaluate
x = 11
The measure of angle KSD in degrees is calculated using
m∠KSD = m∠RSC
So, we have
m∠KSD = 8 * 11 + 5
Evaluate
m∠KSD = 93
Hence, the measure of angle KSD in degrees is 93