Answer: D. 151 degrees.
Step-by-step explanation:
To solve this, first find the interior angle measures of the triangle. We know that it is a right triangle, so the right angle is 90 degrees, and the second angle is 61 degrees.
180 - 90 - 61 = 29 degrees.
Looking at the attached diagram - you can treat the angles surrounding s and 29 as a circle. There are 360 degrees in a circle, so the angle measures in the circle must add up to 360.
We also know that the angle directly opposite the triangle's 29 degree measure is also 29 degrees, so we can make an equation based on this information:
[tex]360 = 2(29) + 2(s)[/tex]
Solve for s:
[tex]360 = 2(29) + 2(s)\\360 = 58 + 2s\\302 = 2s\\s = 151[/tex]
S is equal to 151 degrees.
