Question

What is the measure of angle B in the triangle? Enter your answer in the box. m∠B= ° ​

Answer 1

M angle B= 22°

All the angles of a triangle are equal to 180°, so since we are given 120°, that means that both angles together equal 60°. Set the equations equal to 60°, so (x+16)+x=60°. Add like terms and get x to itself, so subtract 16 from 60 and add the x's together. You should get 2x=44°. Divide 44 by 2 and you get x=22°.

Hope this helps :).

Answer 2

B = 22°

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

x + x + 16 + 120 = 180

2x + 136 = 180 ( subtract 136 from both sides )

2x = 44 ( divide both sides by 2 )

x = 22

∠B = x = 22°