Answer : The measure of angle MBT is 28°.
Step-by-step explanation :
As we see that the ∠NBM is equal to ∠MBT.
That means,
∠NBM = ∠MBT
Given:
∠NBM = (17x - 6)°
∠MBT = (5x + 18)°
According to question:
∠NBM = ∠MBT
(17x - 6)° = (5x + 18)°
17x - 5x = 18° + 6°
12x = 24°
x = 2°
So,
∠NBM = (17x - 6)° = [(17 × 2) - 6]° = 28°
∠MBT = (5x + 18)° = [(5 × 2) + 18]° = 28°
Hence, the measure of angle MBT is 28°.
