Respuesta :
Answer:
56°
Step-by-step explanation:
The interior angles of a triangle add up to 180.
You would first set up the following problem:
91 + 33 + x = 180
You would now subtract 91 from both sides.
33 + x = 89
You would now subtract 33 from both sides.
x = 56
The value of x is 56 degrees.
Angle of triangle D is 56 degrees.
What is a triangle?
"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."
We have
Angle sum property of a triangle = [tex]180^{0}[/tex]
<B + <C + <D = [tex]180^{0}[/tex]
⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]
⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]
⇒ [tex]x^{0}=56^{0}[/tex]
The value of x is 56 degrees.
Hence, angle of triangle D is 56 degrees.
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