Triangle ABC has the angle measures shown.
Which statement is true about the angles?
mZA=(2x)
mZB = (3x)"
mZC = (4x)
A) mZA= 20°
B)mZB = 60°
C).ZA and ZB are complementary
D)mZA+mZC = 100*

Respuesta :

Answer:

B) m∠B = 60°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

2x + 3x + 4x = 180

9x = 180

x = 20

m∠A = 40°

m∠B = 60°

m∠C = 80°

The true statements about the triangle are as follows:

m∠A = 40°

m∠B = 60°

Triangle

The sum of angles in a  triangle is equals to 180 degrees. Therefore,

m∠A + m∠B + m∠C = 180°

m∠A = 2x

m∠B = 3x

m∠C = 4x

Therefore,

2x + 3x + 4x = 180

9x = 180

divide both sides by 9

x = 180 / 9

x = 20

m∠A = 2(20) = 40°

m∠B = 3(20) = 60°

m∠C = 4(20) = 80°

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