Answer:
Please check the explanation.
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