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The missing indicated angle of the given right angle triangle is; 39°

How to use trigonometric ratios?

We can see in the attached image showing the missing figure that it is a right angle triangle and as such we can find the missing angle via trigonometric ratios. In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles

The trigonometric ratios we can use are as follows;

sin x = opposite/adjacent = opp/hyp

cos x = adjacent/hypotenuse = adj/hyp

tan x = opposite/adjacent = opp/adj

Now, we see that the missing angle lies on the side with a length of 28. Thus, adjacent side = 28 and opposite side of it = 23. Thus;

tan x = opposite/adjacent = 23/28

x = tan⁻¹(23/28)

x =  tan⁻¹(0.8214)

x = 39.4° ≈ 39°

Thus, we can conclude that the measure of the indicated angle to the nearest degree 35 and 28 is calculated as 39°.

Read more about Trigonometric Ratios at; https://brainly.com/question/13276558

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