Can a triangle have angles of measures 85° and 100°? Choose the correct answer below. OA No. The sum of the measures of the angles of any triangle is 90°. Since the given angles sum to more than 90°, such a triangle is not possible. O B. No. The sum of the measures of the angles of any triangle is 180°. Since the given angles sum to more than 180°, such a triangle is not possible. O C. Yes. The sum of the measures of the angles of any triangle is 360°. Since the given angles sum to less than 360°, such a triangle is possible. O D. Yes. The sum of the measures of the angles of any triangle must be greater than 180°. Since the given angles sum to more than 180°, such a triangle is possible.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.3: Isosceles Triangles
Problem 24E: In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC...
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Can a triangle have angles of measures 85° and 100°?
Choose the correct answer below.
OA No. The sum of the measures of the angles of any triangle is 90°. Since the given angles sum to more than 90°, such a triangle is not possible.
O B. No. The sum of the measures of the angles of any triangle is 180°. Since the given angles sum to more than 180°, such a triangle is not possible.
O C. Yes. The sum of the measures of the angles of any triangle is 360°. Since the given angles sum to less than 360°, such a triangle is possible.
O D. Yes. The sum of the measures of the angles of any triangle must be greater than 180°. Since the given angles sum to more than 180°, such a triangle is possible.
Transcribed Image Text:Can a triangle have angles of measures 85° and 100°? Choose the correct answer below. OA No. The sum of the measures of the angles of any triangle is 90°. Since the given angles sum to more than 90°, such a triangle is not possible. O B. No. The sum of the measures of the angles of any triangle is 180°. Since the given angles sum to more than 180°, such a triangle is not possible. O C. Yes. The sum of the measures of the angles of any triangle is 360°. Since the given angles sum to less than 360°, such a triangle is possible. O D. Yes. The sum of the measures of the angles of any triangle must be greater than 180°. Since the given angles sum to more than 180°, such a triangle is possible.
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