When Two Lines Intersect as in the Illustration Below, Four

question 55

Multiple Choice

When two lines intersect as in the illustration below, four angles are formed. Angles that are side-by-side, such as and , are called adjacent angles. Angles that are nonadjacent, such as and or and , are called vertical angles. From geometry, we know that if two lines intersect, vertical angles have the same measure. If and , find x . Read as "the measure of ".

• A) x = 11
• B) x = 15
• C) x = 6
• D) x = 8
• E) x = 10

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Definitions:

Law of Diminishing Marginal Utility

An economic principle stating that as consumption of a good or service increases, the marginal utility derived from each additional unit decreases.

Marginal Utility

Marginal Utility is the added satisfaction or benefit a consumer receives from consuming one more unit of a good or service.

Diminishing Marginal Utility

The principle that the utility or satisfaction gained by consuming each additional unit of a good or service decreases as more of that good or service is consumed.

Marginal Utility

The extra pleasure or benefit derived from consuming an additional unit of a product or service.