Answer:
Thus, option (c) is correct.
β = 61.5
Step-by-step explanation:
Given , , we have to solve for x, and then find the value of β ( β > α )
Consider ,
First solve for x ,
Thus,
Also, , we get,
Thus,
since, LHS = RHS thus, angle must be equal,
Thus, ,
Other angle can be found using angle sum property, as sum of angle of a triangle is 180°
Let third angle be y, then ,
90 + 61.5 + y = 180°
y = 180° - 151.5°
y = 28.5°
Since ( β > α ) ⇒ β= 61.5 and α = 28.5
Thus, option (c) is correct.
⇒ β = 61.5