Question

solve for the value of r.
(r+5)°
(2r+4)°
answer attempt 1 out of 2
r =
submit answer

Explanation:

Step1: Use the property of complementary angles

The sum of the three angles is \(90^{\circ}\) (right - angle). So, \((2r + 4)+(r + 5)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2r+r+4 + 5=90\), which gives \(3r+9 = 90\).

Step3: Isolate the term with \(r\)

Subtract \(9\) from both sides: \(3r=90 - 9\), so \(3r=81\).

Step4: Solve for \(r\)

Divide both sides by \(3\): \(r=\frac{81}{3}\).

Answer:

\(r = 27\)