Complementary angles :
Two angles are complementary, if the sum of their measures is equal to 90.
Supplementary angles :
Two angles are supplementary angles if the sum of their measures is equal to 180 degrees.
Angle at center :
Angle at the center is 360 degree.
Find the size of the unknown angle in:
Problem 1 :
Solution:
In the picture above, the angles x° and 65° are complementary.
x + 65° = 90°
x = 90° - 65°
x = 25°
Problem 2 :
Solution:
In the picture above, the angles y° and y° are complementary.
y° + y° = 90°
2y = 90°
y = 45°
Problem 3 :
Solution:
In the picture above, the angles a°, a° and a° are complementary.
a° + a° + a° = 90°
3a = 90°
a = 30°
Problem 4 :
Solution:
In the picture above, the angles n° and 73° are supplementary.
n° + 73° = 180°
n = 180° - 73°
n = 107°
Problem 5 :
Solution:
In the picture above, the angles 45°, p° and 85° are supplementary.
45° + p° + 85° = 180°
130° + p = 180°
p = 180° - 130°
p = 50°
Problem 6 :
Solution:
In the picture above, the angles x°, x° and x° are supplementary.
x° + x° + x° = 180°
3x = 180°
x = 60°
Problem 7 :
Solution:
90° + 72° + 86° + g° = 360°
248° + g = 360°
g = 360° - 248°
g = 112°
Problem 8 :
Solution:
80° + 90° + h° + h° = 360°
170° + 2h = 360°
2h = 360° - 170°
2h = 190°
h = 95°
Problem 9 :
Solution:
60° + i° + 56° + 110° + i° = 360°
226° + 2i = 360°
2i = 360° - 226°
2i = 134°
i = 67°
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM