Given m LMN = 145°, what is m XMN?

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peekaboo22 peekaboo22

05-11-2019
Mathematics

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Given m LMN = 145°, what is m XMN?

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cinderofsoulsss cinderofsoulsss · Answer 1 · 2019-11-05T08:42:32+01:00

cinderofsoulsss cinderofsoulsss

05-11-2019

Answer:

m∠XMN = 80°

Step-by-step explanation:

you know that:

4x + 5 + 6x - 10 = 145

solve for x:

10x - 5 = 145

10x = 150

x = 15

Use this information to solve for m∠XMN

6(15) - 10

90 - 10

80

m∠XMN = 80°

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abidemiokin abidemiokin · Answer 2 · 2021-10-22T10:48:48+02:00

The measure of <XMN from the diagram attached is 80 degrees

The point where two lines meet is known as an angle

From the given diagram

<LMN = <LMX + <XMN

Given the following

<LMX = 4x + 5

<XMN = 6x - 10

Substitute the given parameters into the formula

145 = 4x + 5 + 6x - 10

145 = 10x - 5

10x = 145 + 5

10x = 150

x = 15

Get XMN

<XMN = 6(15)-10

<XMN =90 -10

<XMN = 80 degrees

Hence the measure of <XMN from the diagram attached is 80 degrees

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