Answer:
b = 35°
Step-by-step explanation:
Given : A triangle with one angle 90° and one angle 55°
We need to find the value of b,
Lets name the the given figure as shown below.
Now consider ΔPQR,
Angle sum property states that the sum of angles of a triangle is always 180°
Applying Angle sum property, we get,
∠P + ∠Q + ∠R = 180°
Substitute the values, we get,
⇒ 90° + 55° + ∠R = 180°
⇒ 145° + ∠R = 180°
⇒ ∠R = 180°- 145°
⇒ ∠R = 35°
Thus, value of a is 35°
Since a and b forms a pair of vertically opposite angles.
Thus, ∠QRP = ∠SRT = 35°
Thus, b = 35°
