Respuesta :
The exterior angle with angle d is equivalent to 141 degrees, and the value of x is equal to 10.
Explain the term exterior angle?
- Whenever a side of a triangle is extended, an external angle of the triangle is created.
We must keep in mind that the total of all the angles in a triangle equals 180 degrees in order to solve this puzzle.
The given angles are-
- m∠D = (2x + 19)°,
- m∠E = (3x + 24)°, and
- m∠F = 87°.
Using that formula in this case;
Thus, sum of all angles is 180°.
m < d + m < e + m < f = 180°
(2x + 19)° + (3x + 24)° + 87° = 180°
x = 10°
But if angle D is on a straight line, it is possible to find its exterior angle because angle D plus its exterior angle add up to 180 degrees.
Suppose y = external angle.
m < d + y = 180°
2x + 19 + y = 180°
And x = 10°
2(10) + 19 + y = 180°
y = 141°
Thus, the measure of the degree measure of the exterior angle is found as 141°.
To know more about the exterior angle, here
https://brainly.com/question/17307144
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The correct question is-
In triangle DEF, m∠D = (2x + 19)°, m∠E = (3x + 24)°, and m∠F = 87°. Determine the degree measure of the exterior angle to ∠D.
54°
39°
141°
126°
