Question

click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠klm = 90° m∠kln = 45° m∠mln = 45° which of the following statements is true? answer 2(m∠kln)=m∠mln 1/2(m∠kln)=m∠mln m∠klm = m∠mln m∠klm = 2(m∠mln)

Explanation:

Step1: Identify given angle - measures

We know that \(m\angle KLM = 90^{\circ}\), \(m\angle KLN=45^{\circ}\), and \(m\angle MLN = 45^{\circ}\).

Step2: Check each option

• Option 1: \(2(m\angle KLN)=2\times45^{\circ}=90^{\circ}

eq m\angle MLN = 45^{\circ}\).

• Option 2: \(m\angle KLM = 90^{\circ}

eq m\angle MLN=45^{\circ}\).

• Option 3: \(\frac{1}{2}(m\angle KLN)=\frac{45^{\circ}}{2}=22.5^{\circ}

eq m\angle MLN = 45^{\circ}\).

• Option 4: Since \(m\angle KLM = 90^{\circ}\) and \(m\angle MLN = 45^{\circ}\), then \(m\angle KLM=2(m\angle MLN)\) (because \(2\times45^{\circ}=90^{\circ}\)).

Answer:

\(m\angle KLM = 2(m\angle MLN)\)