The measure of the angles are :
- 25°
- 129°
- x = 107° ; y = z = 73°
- 167°
- 52°
- Angle 1 = 109° ; Angle 2 = 71°
To find x :
A right angle = 90°
65 + x = 90
x = 90° - 65°
x = 25°
(2) :
Vertically opposite angles are equal :
Sum of angles at a point = 360°
[(51 × 2) + (2x)] = 360°
106° + 2x = 360°
2x = 360° - 102°
2x = 258°
x = 254° ÷ 2
x = 129°
(3.)
Verticaly opposite angles are equal :
107° = x°
y° = z°
(2y + (2 × 107)) = 360°
2y + 214° = 360°
2y = 360° - 214°
2y = 146°
y = 146° ÷ 2
y = 73°
y = z = 73°
4.)
Measure of supplementary angles = 180°
Let the measure of it's supplement = x
x + 13° = 180°
x = 180° - 13°
x = 167°
5.)
Complementary angles add up to 90°
Let the measure of it's complement = x
x + 38° = 90°
x = 90° - 38°
x = 52°
6.)
Sum of linear pair of angles = 180°
(5x + 9) + (3x + 11) = 180°
5x + 3x + 9 + 11 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20°
Angle 1 = 5(20) + 9 = 109°
Angle 2 = 3(20) + 11 = 71°
Learn more : https://brainly.com/question/17920323
