Answer:
x = 7
The two smaller angles are 23° each
Step-by-step explanation:
x + 16 = 4x - 5 (vertical angles are congruent)
x + 16 - 4x = 4x - 5 - 4x (subtraction property of equality)
-3x + 16 = - 5 (simplification)
-3x + 16 - 16 = -5 - 16 (subtraction property of equality)
-3x = -21 (simplification)
-3x/-3 = -21/-3 (division property of equality)
x = 7 (simplification)
✔️Measure of the two smaller angles:
Plug in the value of x
x + 16 = 7 + 16 = 23°
4x - 5 = 4(7) - 5 = 28 - 5 = 23°
