We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator
The angles are x =25, angle A = 20 and B = 70
<h3>How to solve for the angles?</h3>
The given parameters are:
A = x - 5
B = 2x + 20
Both angles are complementary angles.
This means that:
x - 5 + 2x + 20 = 90
Evaluate the like terms
3x = 75
Divide both sides by 3
x = 25
Substitute x = 25 in A = x - 5 and B = 2x + 20
A = 25 - 5 = 20
B = 2 * 25 + 20 = 70
Hence, the angles are x =25, angle A = 20 and B = 70
Read more about complementary angles at:
brainly.com/question/98924
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Answer:
the answer is the first choice .
