Question

In AXYZ, the angle measures are in the ratio 2:4:6. What are the measures of the angles?

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given that the measures of the Angles of the triangle ΔXYZ are in the ratio 2:4:6.

• As the angles are in the proportion 2:4:6. Thus, the measure of the angles will have the same scale factor x.

Also, the sum of the measure of angles in a triangle is 180°.

so

2x + 4x + 6x = 180

Add similar elements: 2x + 4x + 6x = 12x

12x = 180

Divide both sides by 12

12x/12 = 180/12

Simplify

x = 15

Therefore, the measure of the angles of a triangle will be:

2x = 2(15) = 30

4x = 4(15) = 60

6x = 6(15) = 90

Verification:

30 + 60 + 90 = 180

180 = 180