JMAP Solutions – TRIANGLES: Interior and Exterior Angles of Triangles-GE Page 1
INTERIOR AND EXTERIOR ANGLES OF
GEO. APPEARANCES: 080933ge, 080934ge 2-pointer
060901ge, 060909ge, 060911ge multiple choice
REGENTS QUESTIONS SOLUTIONS
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°)).
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
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, mA 95, mB 50, and
opposite the largest angle. The
mC 35. Which expression correctly shortest side of a triangle is opposite
relates the lengths of the sides of this the smallest angle.
(1) AB < BC < CA (3) AC < BC < AB AB < AC < BC
(2) AB < AC < BC (4) BC < AC < AB
5 080934ge mBCA 63 and mABC 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, mA 37 and
mBCD 117. Which side of ABC is the
JMAP Solutions – TRIANGLES: Interior and Exterior Angles of Triangles-GE Page 2
longest side? Justify your answer.