SOLUTION: decide if each statement about angle relationships is true or false. Choose True or False for each statement. True False a. A right triangle has a right exterior angle. b. The s

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Question 1205190: decide if each statement about angle relationships is true or false. Choose True or False for each statement. True False a. A right triangle has a right exterior angle. b. The sum of the exterior and interior angles of a triangle is always 360°. c. At any vertex of a triangle, two exterior angles can be drawn. These exterior angles are always congruent. d. A triangle can have acute exterior angles at two different vertices.
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True or False


a. A right triangle has a right exterior angle.
True
b. The sum of the exterior and interior angles of a triangle is always 360°.
False
reason: by definition
the sum of the exterior angles of a triangle is 360°
the sum of the interior angles of a triangle is 180°
the sum of the exterior and interior angles is 360°+180°=540°

c. At any vertex of a triangle, two exterior angles can be drawn. These exterior angles are always congruent.
True

d. A triangle can have acute exterior angles at two different vertices.
False
reason: an acute angle < 90+°, it is not possible for an exterior angle to be acute