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PLEASE HELP I DONT UNDERSTAND!!

PLEASE HELP I DONT UNDERSTAND!!-example-1
User Evochrome
by
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2 Answers

1 vote

Answer:

3x = 36; 2y - 5 = 95; x + y = 62

Explanation:

Supplementary angles add up to 180

180 = 3x + 144

36 = 3x

x = 12

Vertically opposite angles are equal

95 = 2y - 5

100 = 2y

y = 50

x + y = 12 + 50 = 62

User Tiantian
by
4.1k points
5 votes

Answer:

see explanation

Explanation:

3x and 144 are adjacent angles on a straight line and sum to 180°

3x + 144 = 180 ( subtract 144 from both sides )

3x = 36 ← value of 3x

divide both sides by 3

x = 12

and

2y - 5 and 95 are vertically opposite angles and are congruent, so

2y - 5 = 95 ← value of 2y - 5

add 5 to both sides

2y = 100 ( divide both sides by 2 )

y = 50

Then

x + y = 12 + 50 = 62

User Cowboybebop
by
3.3k points