Answer:
x = 10.
Step-by-step explanation:
Given : If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees,
To find : Determine the value of x.
Solution : We ave given
Angle A = 45 degrees.
Angle B = 4x + 5 .
In the diagram Angle A and B are vertical opposite angle
Vertical opposite are always equal.
So, Angle A = Angle B
45 = 4x +5.
Now subtract both sides both by 5.
45 -5 = 4x .
40 = 4x .
On dividing both sides by 4.
x = 10.
Therefore, x = 10.
