Question

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Triangle ABC has the following angle measures:

m∠A = (x + 4)°, m∠B = (2x − 11)°, m∠C = (3x + 25)°

What is m∠B?

27°
33°
43°
55°

Answer 1

Triangles are shapes that have a total angle measurement of 180°.

To find this answer, add the measures of all the angles and set the equation equal to 180:

(x + 4) + (2x − 11) + (3x + 25) = 180

NOW SOLVE FOR X!

x + 4 + 2x − 11 + 3x + 25 = 180

18 + 6x = 180

6x = 162

x = 27

Now plug 27 into the equation for m∠B:

m∠B = (2x − 11)

m∠B = 2(27) − 11

= 54 - 11

m∠B = 43