39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°
2 answers:
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
Answer:
x = 12
Step-by-step explanation:
<u />
<u>Consecutive Interior Angles Theorem</u>
When a <u>straight line</u> intersects <u>two parallel straight lines</u>, 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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