What is the measure of \angle x∠xangle, x? Angles are not necessarily drawn to scale.

Mathematics

2 answers:

natita [175]2 years ago

7 0

Answer:

74 degrees

Step-by-step explanation:

You can see this is a supplementary angle, which means that it is a straight line with a line sticking out. This means the two angles add up to 180 degrees, so 180 - 106 = 74, which is your answer.

Murljashka [212]2 years ago

5 0

Answer:

x = 74°

Step-by-step explanation:

x + 106 = 180 {linear pair}

Subtract 106 from both sides

x = 180 - 106

x = 74°

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Please help me <br> I have to solve the triangle with the law of sines

Nikitich [7]

Check the picture below.

and since a triangle has a sum of 180° for all interior angles.

A = 180 - 39.34 - 25

A = 115.66

$\bf \cfrac{sin(25^o)}{44}=\cfrac{sin(A)}{a}\implies \cfrac{sin(25^o)}{44}=\cfrac{sin(115.66^o)}{a} \\\\\\ a\cdot sin(25^o)=44\cdot sin(115.66^o)\implies a=\cfrac{44\cdot sin(115.66^o)}{sin(25^o)} \\\\\\ a\approx 93.8452\implies \stackrel{\textit{rounded up}}{a = 93.85}$