∠A and \angle B∠B are vertical angles. If m\angle A=(x+16)^{\circ}∠A=(x+16) and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find

Question

4 years ago

9

the measure of \angle A∠A.

2 answers:

motikmotik · Answer 1 · 2021-12-25T20:44:14+03:00

motikmotik4 years ago

7 0

The measures of vertical angles are identical.

∠A = ∠B

x+16 = 3x-14 . . . . substitute the given measures

30 = 2x . . . . . . . . add 14-x

15 = x . . . . . . . . . .divide by 2

∠A = ∠B = 15+16 = 31

The measure of ∠A is 31°.

Svetllana [295] · Answer 2 · 2021-12-25T21:50:27+03:00

Svetllana [295]4 years ago

6 0

Answer:

x=14

Step-by-step explanation:

7x−27=3x+29 +27=3x+27

7x=3x+56 -3x=-3x

4x=56

4x/4=56/4

x=14

∠A and \angle B∠B are vertical angles. If m\angle A=(x+16)^{\circ}∠A=(x+16)​​ and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find