If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x. A) 10 degrees B) 25 2 degrees C) 40 degrees D) 160 degrees

Respuesta :

A 10 degrees because 4×10+5=45

The value of x in the given problem is 10 degrees.

What are opposite angles?

When any two straight lines intersect each other, there are different pairs of angles that are formed. The angles that are directly opposite to each other are known as opposite angles.

As we know that when two lines intersect the opposite angles are equal,

so, ∠A = ∠B

It is given that

∠A = 45°

∠B = 4x+5

So, 4x+5 = 45

4x = 40

x =10°

Therefore, The value of x in the given problem is 10 degrees.

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