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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercise 16 and 18, complete the missing statements or reasons for each proof.

Use an indirect proof to complete
the following proof.
Given: Δ M N Q with
m N = 120 °
Prove: M and Q
are not complementary.
Chapter 2.CT, Problem 17CT, In Exercise 16 and 18, complete the missing statements or reasons for each proof. Use an indirect

To determine

To prove:

The given statement.

Explanation

For indirect proof, consider M, and Q are complementary. According to the corollary, the sum of two complementary angle will be 90°.

Given:

The following figure shows the given diagram.

Given that, ΔMNQ with mN=120°.

Approach:

Write the sum of complementary angle.

mM+mQ=90°

According to the theorem of triangle, the sum of three angle will be 90°

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