# JMAP SOLUTIONS BY TOPIC TRIANGLES Interior and Exterior Angles

Document Sample

JMAP Solutions – TRIANGLES: Interior and Exterior Angles of Triangles-GE                     Page 1
www.jmap.org

INTERIOR AND EXTERIOR ANGLES OF
TRIANGLES-GE
GEO. APPEARANCES:               080933ge, 080934ge 2-pointer
060901ge, 060909ge, 060911ge multiple choice

REGENTS QUESTIONS                                       SOLUTIONS
1                                                                    (1)
060901ge                           Assuming A is at its minimum
Juliann plans on drawing ABC, where the           (50°) and B is at its minimum
measure of A can range from 50° to 60°            (90°), C is at its maximum of 40°
and the measure of B can range from 90°           (180° - (50° + 90°)). Assuming A
to 100°. Given these conditions, what is the       is at its maximum (60°) and B is
correct range of measures possible for             at its maximum (100°), C is at its
(1) 20° to 40°        (3) 80° to 90°               minimum of 20° (180° - (60° +
(2) 30° to 50°        (4) 120° to 130°             100°)).

2                                                                          (1)
060909ge                   In an equilateral triangle, each
In an equilateral triangle, what is the interior angle is 60° and each
difference between the sum of the exterior exterior angle is 120° (180° - 120°).
angles and the sum of the interior angles? The sum of the three interior angles
(1) 180°              (3) 90°              is 180° and the sum of the three
(2) 120°              (4) 60°              exterior angles is 360°.

3                                                                x  3x  5 x  54  180
080933ge
9 x  234
The degree measures of the angles of ABC
are represented by x, 3x, and 5x  54. Find                                  x  26
the value of x.

4                    060911ge                                  (2)
The longest side of a triangle is
In ABC, mA  95, mB  50, and
opposite the largest angle. The
mC  35. Which expression correctly shortest side of a triangle is opposite
relates the lengths of the sides of this the smallest angle.
triangle?
(1) AB < BC < CA    (3) AC < BC < AB                AB < AC < BC
(2) AB < AC < BC    (4) BC < AC < AB

5                    080934ge                 mBCA  63 and mABC  80 . AC
In the diagram below of ABC with side  is the longest side because it is
opposite the largest angle.
AC extended through D, mA  37 and
mBCD  117. Which side of ABC is the
JMAP Solutions – TRIANGLES: Interior and Exterior Angles of Triangles-GE   Page 2
www.jmap.org