Respuesta :
Answer:
∠B = 108°
Step-by-step explanation:
Since ∠A and ∠B are supplementary angles , it means that the sum of their angles add up to 180°
To find ∠B first find x
To find x add ∠A and ∠B and equate them to 180 to find x
We have
m ∠A + m ∠B = 180
2x +10 + 3x +15 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
Divide both sides by 5
x = 31°
From the question
m ∠B= (3x +15)°
So we have
∠B = 3(31) + 15 = 93 + 15
We have the final answer as
∠B = 108°
Hope this helps you