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∠A=8x _6

tart color #11accd, angle, A, end color #11accd, equal, tart color #11accd, 8, x, plu, 6, degree, end color #11accd \qquad \green{\angle B} = \green{4x 38^\circ}∠B=4x _38


Sagot :

The measure of angle A and angle B is equal to 70° as per the given relation of both the angles.

As given in the question,

Given measure of angle A is equal to ( 8x + 6 )°

Given measure of angle B is equal to ( 4x + 38 )°

Given condition :

Measure of both the angles are equal to each other

Measure of ∠A = Measure of ∠B

⇒ ( 8x + 6 )° =  ( 4x + 38 )°

Now simplify the above equation to get the value of x

⇒(8x - 4x)° = (38 -6)°

⇒4x°= 32°

⇒x = 32°/4

⇒x = 8°

Measure of ∠A = 8(8) + 6

                         = 70°

Measure of ∠B = 4(8) +38°

                          = 70°

Therefore, the measure of both the angles A and B is equal to 70°.

The complete question is:

The measure of ∠A = (8x + 6)° , measure of ∠B = ( 4x+ 38)° and  both are equal to each other. Find the measure of each angle?

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