Question

In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°

Answer 1

The answer is D pr..

Answer 2

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

$tanx=\frac{7.6}{8.6}$

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

$x=\frac{7.6}{8.6}(tan^-^1)$

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.