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Naddik [55]
2 years ago
13

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Mathematics
1 answer:
Olin [163]2 years ago
8 0

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

5. 7x = 105 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

6. x = 15 --> by inverse operations (division)

Hope this helps!

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