Angle Sums
Find the Missing Angle
Triangle Sum Theorem
Exterior Angle Theorem
Extension
100
Solve for x.
88°
100
If angle 1 and 2 are both complementary, what is the measure of angle 1 if angle 2 measures 32 degrees?
58°
100
In Triangle ABC, angle A is 37 degrees, angle B is 68 degrees, what is the measure of angle C?
75°
100
Calculate the value of x.
113°
100
Calculate for f.
44°
200
Solve for x.
118°
200
Angles A and B are linear pairs. What is the measure of angle B if angle A measures 99 degrees?
81°
200
In Triangle DEF, the measure of angle E is 30, angle F is a right angle, what is the measure of angle D?
60°
200
Calculate for c.
47°
200
Calculate for the unknown angle.
60°
300
Solve for y.
108°
300
What is measure of an angle that is vertical to an angle of 113 degrees?
113°
300
In Triangle GHI, if angle G is x+25, angle H is 2x-3, and angle I is 3x+12, what are the missing angle measures?
51°, 49°, and 90°
300
Calculate for the value of b.
139°
300
Solve for unknown angle.
145°
400
ABDC is as quadrilateral, formed of an equilateral triangle DBC and a triangle ABC. Angle ACD = 90° and Angle BAC = 19°. What is the measure of angle ABC?
131°
400
Angle A and B are complementary. Angle A is represented by x+2 and Angle B is represented by x+8. Find the angle measures.
Angle A is 42° and Angle B is 48°.
400
Calculate the value of x.
25°
400
Find x if the remote interior angles are represented by x+3 and x, and the exterior angle measures 149 degrees.
73
400
Calculate for the unknown angle.
64°
500
ABC is a right-angled triangle. ADE and DBE are congruent right-angled triangles. Angle AED = 44°. Calculate the measure of angle C.
44°
500
Angle A and B are vertical angles. Angle A is represented by 3x+12 and Angle B is represented by 120 degrees. Find the value of x.
36°
500
In Triangle MNO, if angle M is 3x+2, angle N is 2x+23, and angle I is x+50, what is the measure of the biggest angle?
67.5°
500
Find x when the remote interior angles are represented by 80 and 90 degrees, and the exterior angle is represented by 4x+10.
x = 40.
500
Below is A regular pentagon. Calculate for the value of x. 
36°