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3 years ago

LMN≅PQR What is the value of x in degrees?

Mathematics

2 answers:

astra-53 [7]3 years ago

5 0

180-39-55=86°
...........................

DENIUS [597]3 years ago

4 0

Since angle LMN = angle PQR, angle M = angle Q

Since angle Q = 55 degrees, Angle M also = 55 degrees

We know that the three angles of a trainangle should be equal to 180 degrees

So, L + M + N = 180

Angle L is the unkown x

x + 55 + 39 = 180

x +94 =180

x = 180-94

x = 86 degrees

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2 years ago

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fiasKO [112]

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Step-by-step explanation:

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$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

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