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if the ratio of two supplementary angles is 7 to 43, calculate the meas…

Question

if the ratio of two supplementary angles is 7 to 43, calculate the measu of the larger of the two angles. 149.05 135.46 169.46 154.8 none of these answers are correct.

Explanation:

Step1: Let the angles be \(7x\) and \(43x\)

Since the angles are supplementary, \(7x + 43x=180\)

Step2: Solve for \(x\)

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Step3: Find the larger angle

The larger angle is \(43x\). Substitute \(x = 3.6\) into \(43x\)
\(43\times3.6=154.8\)

Answer:

154.8