Answer:
r = 55°, s = 25°, t = 30°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the 4 angles in the top quadrilateral and equate to 360
r + 100° + 110° + 95° = 360°
r + 305° = 360° ( subtract 305° from both sides )
r = 55°
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° in the left triangle for s
s = 180° - (100 + 55)° = 180° - 155° = 25°
Similarly for the triangle on the right for t
t = 180° - 95 + 55)° = 180° - 150° = 30°
