Question

Use the diagram below. Is each statement true?BА44°56°a. ZEOB and ZAOC are supplementary angles.b. ZAOC and ZBOC are complementary angles.C. ZEOD and ZDOC are adjacent angles.

Answer 1

EOB and AOC are not supplementary angles

AOC and BOC are not complementary angles

EOD and DOC are adjacent angles.

So,

the answer is option c:

a) No

b) No

c) yes

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< RST = 3x + 7 and the angles are a linear pair

So, the sum of the angles are 180

(3x + 7) + ( 9x + 17 ) = 180

Solve for x

3x + 7 + 9x + 17 = 180

12x + 24 = 180

subtract 24 from both sides

12x + 24 - 24 = 180 - 24

12 x = 156

divide both sides by 12

12x/12 = 156/12

x = 13

substitute at the given angles

so, the answer is option A) 46 , 134

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RS bisects

so, The answer is option D