The measures of the angles in an isosceles right triangle is option (B) 45, 45, and 90 is the correct answer.
An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
An isosceles right triangle has one angle 90° and the other two angles are equal and the sum of 90°. Because the sum of internal angles of a triangle equal to 180°.
Let the unknown angle be x,
[tex]90+x+x=180[/tex]
⇒ [tex]90+2x=180[/tex]
⇒ [tex]2x=180-90[/tex]
⇒ [tex]x=\frac{90}{2}[/tex]
⇒ [tex]x=45[/tex]
Hence we can conclude that the measures of the angles in an isosceles right triangle is option (B) 45, 45, and 90 is the correct answer.
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