∠A and \angle B∠B are vertical angles. If m\angle A=(5x-5)^{\circ}∠A=(5x−5) ∘
and m\angle B=(2x+19)^{\circ}∠B=(2x+19)
∘
, then find the value of x.

x = 8

Step-by-step explanation:

Since the angles are vertical then they are congruent, thus

5x - 5 = 2x + 19 ( subtract 2x from both sides )

3x - 5 = 19 ( add 5 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

hi! i think the answer is 1/2 : )