I need help on this problem

Mathematics

2 answers:

chubhunter [2.5K]4 years ago

6 0

The value of x
3x°+46°+(2x-1°)=180°(angle sum of △)
5x+45=180°
5x=180°-45
x=135÷5
x=27
x is 27

put x into angle B,we have
2(27)-1
=53

thus angleB is 53°

hope it helps c:

likoan [24]4 years ago

3 0

In Euclidean geometry (the geometry you're probably familiar with), the interior angles of a triangle always add to 180°.

With that knowledge, we can set up an equation that lets us solve for x based on our given angles by setting their sum equal to 180.

$3x+(2x-1)+46=180\\5x+45=180\\5x=135\\x=27$

To find ∠B, we simply substitute the x for 27:

$2x-1=2(27)-1=54-1=53$

So, m∠B = 53°.

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