Answer:
∠A = 78° , ∠B = 39° and ∠C = 63°
Step-by-step explanation:
Let the measure of angle A = m°
So, according to the question
Angle B = (m/2)°
Angle C = (m - 15)°
Now by ANGLE SUM PROPERTY, the sum pf all angles of a triangle is 180°
⇒ ∠A +∠B + ∠C = 180°
or, m + (m/2) + (m -15) = 180°
Solving for m , we get 2m + (m/2) = 180 + 15
or,[tex]\frac{5m}{2} = 165\\or, m = 195 \times \frac{2}{5}[/tex]
or, m = 78°
Hence ∠A = 78°
∠B = (m/2) = (78/2) = 39°
and ∠C = (m -15) = 78 - 15 = 63°
