Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Applying the theorem of supplementary angles, the value of angle AOD is 150 degrees
What are Supplementary Angles
Supplementary angles are related to angles that make a straight angle together. It means, two angles are said to be supplementary angles when they add up to 180 degrees. Two angles are supplementary, if;
- One of its angles is an acute angle and another angle is an obtuse angle.
- Both of the angles are right angles.
In this question, we can write this mathematically as
m∠ AOD + m∠ DOC = 180°
2x + 12 + 8x - 2 = 180
collect like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 19
In triangle AOD, m ∠ AOD = 8x - 2 = 8(19) - 2 = 150
The value of angle AOD is 150 degrees
Learn more on supplementary angles here;
https://brainly.com/question/2046046
#SPJ1
Answer: The answer is B, 46°
Step-by-step explanation:
1) 180 = 2x + 12 + 8x - 2
2) 180 = 10x + 10
3) 180 = 10 (x - 1)
4) 18 = x + 1
5) x = 17
6) 2(17) + 12
7) 34 + 12
8) 46°
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
