At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
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
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.