Question

Find the measure of angle A and angle B for the given situation.

complementary angles A and B, where m∠A=(y−16)°
and m∠B=(y+4)°

Answer 1

The above ans is correct

Answer 2

The measure of A is 23° and the measure of B is 43°  

Given:

Angles A and B are complementary angles

Where m∠A = (y − 16)°  and m∠B = (y + 4)°  

To find:

The measure of angle A and angle B  

Solution:

From  the data,

Angles A and B are complementary angles

Since the Sum of the complementary angles is 90°  

Then the sum of angle A and angle B must be equal to 90°  

=> m∠A  + m∠B = 90°

=> (y − 16)° + (y + 4)° = 90°  

=> (2y − 12)° = 90°  

=> 2y = 78°  

=> y = 39°

Hence,

The measure of A and B can be calculated as follows

=> m∠A = (y − 16)° = (39 − 16)° = 23°  

=> m∠B = (y + 4)° = (39 + 4)° = 43°  

Therefore,

The measure of A is 23° and the measure of B is 43°  

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