# Given MPRK is a parallelogram, how would you prove, in two-column format, that the measure of angle MTK = measure of angle PMT + measure of angle RKT?

I assume, point

See below the proof.

End of proof.

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Statements | Reasons |
---|---|

MPRK is a parallelogram. | Given |

MK is parallel to PR. | Definition of a parallelogram |

Angles MTK and PMT are alternate interior angles formed by transversal KT and parallel lines MK and PR. | Alternate Interior Angles Theorem |

Angles MTK and RKT are corresponding angles formed by transversal KT and parallel lines MK and PR. | Corresponding Angles Theorem |

Angle PMT is congruent to angle RKT. | Corresponding Angles Theorem |

Therefore, measure of angle MTK = measure of angle PMT + measure of angle RKT. | Angle Addition Postulate |

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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