Answer:
46° or (b)
Step-by-step explanation:
i did the test and got it right
The measure of m∠aod is 46°.
Option B is the correct answer.
The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
m∠aod = (2x + 12)°
m∠doc = (8x − 2)°,
m∠aoc is a straight angle
m∠aod = m∠aod + m∠doc
180 = 2x + 12 + 8x - 2
180 = 10x + 10
Taking 10 common
180 = 10(x + 1)
18 = x + 1
x = 17
Now,
m∠aod:
= 2x + 12
= 2 x 17 + 12
= 34 + 12
= 46°
Thus,
The value of m∠aod is 46°.
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