Respuesta :
Answer:
Step-by-step explanation:
To find the measures of angles S and T in polygon PQRST, we can use the fact that the sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.
In this case, since we have a pentagon (5 sides), the sum of the interior angles is (5-2) * 180 = 3 * 180 = 540 degrees.
We are given the measures of angles P, Q, and R as 93 degrees, 156 degrees, and 85 degrees, respectively.
To find the measures of angles S and T, we can subtract the measures of angles P, Q, and R from the sum of the interior angles:
Sum of interior angles = 540 degrees
Subtracting the measures of angles P, Q, and R:
540 - 93 - 156 - 85 = 206 degrees
Therefore, the measure of angle S is 206 degrees.
To find the measure of angle T, we can subtract the measure of angle S from the sum of the interior angles:
Sum of interior angles = 540 degrees
Subtracting the measure of angle S:
540 - 206 = 334 degrees
Therefore, the measure of angle T is 334 degrees.
So, the measure of angle S is 206 degrees and the measure of angle T is 334 degrees.
