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20 votes
20 votes
Help me with this math equation peez

Help me with this math equation peez-example-1
User Kevin Tan
by
2.9k points

2 Answers

25 votes
25 votes

Answer:

x = 15.

Explanation:

The figure is a square so opposite sides are congruent and parallel.

The 2 angles marked are interior alternate angles, so they are congruent.

Therefore:

2x + 15 = 6x - 45

15 + 45 = 6x - 2x

4x = 60

x = 15.

User Cortes
by
2.8k points
17 votes
17 votes

Answer:

x = 15, 45 degree angle

Explanation:

2x + 15 and 6x - 45 adds up to 90 degrees

(2x + 15) + (6x - 45) = 90

combine like terms:

2x + 6x = 8x

15 + (-45) = -30

8x - 30 = 90

8x - 30 + 30 = 90 + 30

8x = 120

8x / 8 = 120 / 8

x = 15

2(15) + 15

30 + 15 = 45 degree angle

6(15) - 45

90 - 45 = 45

User Jeffrey Harper
by
2.8k points