∠A and \angle B∠B are vertical angles. If m\angle A=(3x-21)^{\circ}∠A=(3x−21) ∘ and m\angle B=(2x-13)^{\circ}∠B=(2x−13) ∘ , then find the value of x

Work Shown:

Vertical angles are always congruent

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

Extra info:

Use this x value to find each angle

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Both angles A and B are 3 degrees, so this confirms the answer.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !