Respuesta :
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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