Question

If m∠P = (19x - 5)° and x = 4, find m∠P and classify the angle (acute, right, obtuse, straight).

Answer 1

∠ P = 71° and is acute

Explanation:

Acute angle is between 0° and 90°

Right angle = 90°

Obtuse angle is between 90° and 180°

Straight angle = 180°

Given

∠ P = 19x - 5 ← substitute x = 4

= 19(4) - 5 = 76 - 5 = 71° ← acute angle

Answer 2

71 degrees, Acute angle

Explanation:

From the question, the equation for the Angle is given to be 19x-5, given in degrees and they want to find the value of the angle when the variable X is equal to 4.

All we need to do is change X with 4 in this equation to get

(19x4)-5) Now we just need to do some basic arithmetic to find out the value.

(76-5)=71, So 71 degrees. Now let's classify all the types of angles

1-89 degrees is a acute angle

90 degrees Is a right angle

91-179 is a obtuse angle

180 is a Straight angle

181-359 is a reflex angle

360 is a full turn.

Notice how our 71 degree angle falls into the category of a acute angle (1-89)

So our final Answer is that the angle is 71 degrees and a acute angle.