Question

Angle Terminology with Equations
DELTA MATH

Answer 1

Question : -

Angle A and Angle B are vertical angles . If mAngle A = ( 8x - 12 )° and mAngle B = ( 6x + 14 )°, then find the value of x .

Given : -

• Angle A = ( 8x - 12 )°

• Angle B = ( 6x + 14 )°

To Find : -

We have to find the value of x

Concept : -

Concept of this question belongs to vertical angles i.e. vertical angle are always equal .

So Starting Our Solution : -

• Angle A = Angle B

• 8x - 12 = 6x + 14

• 8x - 6x = 14 + 12

• 2x = 26

• x = 26/2

• x = 13

`\pink{\boxed {Therefore , \: value \: of \: x \: i s \: 13}}`

Verification : -

We are verifying our answer by putting the value of x in given Angle A and Angle B ,

• Angle A = Angle B

• ( 8x - 12 )° = ( 6x + 14 )°

• [ 8 ( 13 ) - 12 ]° = [ 6 ( 13 ) + 14 ]°

• ( 104 - 12 )° = ( 78 + 14 )°

• 92° = 92°

• L.H.S = R.H.S

• Hence, Verified .

Therefore , our answer is correct .

#Keep Learning

Answer 2

x = 13

Explanation:

Vertical angles are always congruent (equal)

⇒ ∠A =∠B

⇒ (8x - 12) = (6x + 14)

⇒ 2x = 26

⇒ x = 13