Answer :
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;
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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°