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∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.

Sagot :

Since there are complementary angles, the value of angle B is 39°.

Angle A = 7x + 23°

Angle B = 5x + 19°

It should be noted that the total angles in a complementary angle are equal to 90°.

Therefore, we need to add angle A and B together and then equate them to 90°. This will be:

7x + 23° + 5x + 19° = 90°

Collect like terms

12x + 42° = 90°

12x = 90° - 42°

12x = 48°

x = 48°/12

x = 4°

Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°

Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°

The value of angle B is 39°.

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