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One interior angle of a triangle is 98.5°, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles?

81.5°
90°
40.75°
49.25°

Respuesta :

sqdancefan

Answer:

  (c)  40.75°

Step-by-step explanation:

Given an isosceles triangle with one angle 98.5°, you want the measures of each of the other two angles.

Angle sum theorem

The sum of angles in a triangle is 180°, so we have ...

  2x + 98.5° = 180° . . . . . . x is the unknown angle measure

  x +49.25° = 90° . . . . . . divide by 2

  x = 40.75° . . . . . . . . . . subtract 49.25°

The measure of one of the congruent angles is 40.75°.

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