Alexa 5.

asked • 04/16/20

Solving for X on Vertical Angles

Bending ​A​ and bending ​C​ are vertical angles. If ​m∠A=(4x+12)°​and ​1000∠C=(ten+eighteen)°​, what is the value of ​x​?

2 Answers By Skillful Tutors

Vertical angles are congruent, so you can set Angle A = Bending C and solve for x.

Angle A = Angle C

4x+12 = ten+18 Become x terms on L side of = & constants (plain #) on R side past subtracting x on both sides.

-x -x

3x+12= 18 At present, decrease 12 from both sides of equation to get constants on R side of equation.

-12= -12

3x = half-dozen Now, split up by iii to solve for x.

iii 3

x = 2

Physician Mujibur B. answered • 04/16/20

K.S. in Physics, 5 years of education, excellent trouble solving skills

SInce angle A and bending C are vertical angles. Vertical angles are equal!

So, one thousand∠A = n∠C

⇒ 4x +12 = x + xviii

⇒ 4x - x = 18 - 12

⇒ 3x = 6

⇒ x = 6/iii

⇒ 10 = 2

So, x = 2

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