Respuesta :

The measure of angle A and angle B are 31° and 59° respectively.

What are complementary angles?

Complementary angles that sum up to 90 degrees.

Given the angles as;

  • angle A = 3x+7
  • angle B =6x+11

We have that;

Angle A + Angle B= 90

Substitute the values

3x + 7 + 6x + 11 = 90

collect like terms

9x = 90 - 18

9x = 72

Make 'x the subject

x = 72/ 9

x = 8

Angle A = 3x + 7 = 3(8) + 7 = 31°

Angle B = 6x +11 = 6(8) + 11 = 59°

Thus, the measure of angle A and angle B are 31° and 59° respectively.

Learn more about complementary angles here:

https://brainly.com/question/16281260

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nuhulawal20

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

What is the measure of each angle?

complementary angles are angles that sum up to 90 degrees.

Given the data in the question;

  • Angle A and angle B are complementary
  • Measure of angle A = 3x + 7
  • measure of angle B = 6x + 11
  • Numerical measure of each angle = ?

Since complementary angles sum up to 90 degrees.

Measure of angle A + Measure of angle B = 90°

Plug in the given values and solve for x.

(3x + 7) + (6x + 11) = 90

Collect like terms

3x + 6x + 11 + 7 = 90

9x + 18 = 90

Subtract 18 from both sides

9x + 18 - 18 = 90 - 18

9x = 72

x = 72/9

x = 8

Hence;

Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°

Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

Learn more about complementary angles here: https://brainly.com/question/4410854

#SPJ1

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