The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the larger angle is 1:3. Find the measure of the larger angle.

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

tip $2.90

total $17.40

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step-by-step explanation: