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2 years ago

39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°

Mathematics

2 answers:

coldgirl [10]2 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

6x - 4 and 112 are same- side interior angles and sum to 180° , that is

6x - 4 + 112 = 180

6x + 108 = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

damaskus [11]2 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Consecutive Interior Angles Theorem

When a straight line intersects two parallel straight lines, the consecutive interior angles formed are are supplementary (sum to 180°).

Therefore:

⇒ 6x - 4 + 112 = 180

⇒ 6x + 108 = 180

⇒ 6x + 108 - 108 = 180 - 108

⇒ 6x = 72

⇒ 6x ÷ 6 = 72 ÷ 6

⇒ x = 12

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